PUBLICATIONS

Vincenzo CAPASSOe-mail: vincenzo.capasso@unimi.it

vincenzocapasso.vincenzocapasso@gmail.com

ADAMSS( Interdisciplinary Centre for

Advanced Applied Mathematical and Statistical Sciences)Universitá degli Studi di Milano “La Statale”

via Saldini 50, 20133 Milano, Italy

November 19, 2020

PUBLISHED PAPERS

175. Regional control for spatially structured mosquito borne epidemics.Part II: Computational issues.(in collaboration with Aniţa, S., Scacchi, S.)Submitted (2020).

174. Controlling the spatial spread of a Xylella epidemic.(in collaboration with Aniţa, S., Scacchi, S.)Submitted (2020).

173. A mathematical model for Xylella fastidiosa epidemics in the Mediter-ranean regions. Promoting good agronomic practices for their effectivecontrol.(in collaboration with Brunetti, M., Montagna, M., Venturino, E.)Ecological Modelling 432 (2020) 109204.DOI: 10.1016/j.ecolmodel.2020.109204.

172. A hybrid stochastic model of retinal angiogenesis.(in collaboration with Wieczorek R.)Mathematical Methods in the Applied Sciences 43 (2020), 10578-10592.DOI: 10.1002/mma.6725

171. Regional control for spatially structured mosquito borne epidemics. Malariaas a working example.(in collaboration with Aniţa S.)

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Vietnam Journal of Mathematics (2020)DOI: 10.1007/s10013-020-00395-2

170. Optimal control strategies for a class of vector borne diseases, exemplifiedby a toy model for malaria.(in collaboration with Aniţa S. & Beretta, E.)Biomath 8 (2019), 1909157.https://doi.org/10.11145/j.biomath.2019.09.157

169. Regional Control for a spatially structured malaria model.(in collaboration with Aniţa S. & Demetriu, G.)Mathematical Methods in the Applied Sciences, 42(2019), 2909-2933.https://doi.org/10.1002/mma.5560

168. A Shape Optimization Problem Concerning the Regional Control of aClass of Spatially Structured Epidemics - Sufficiency Conditions.(in collaboration with S. Aniţa, M. Lipnicka & A. Nowakowski)Proceedings DSABNS Turin 2018. To appear in the SEMA-SIMAI SpringerSeries (2019).

167. A mathematical model for malaria transmission with asymptomatic car-riers and two age groups in the human population.(in collaboration with E. Beretta & D. G. Garao)Mathematical Biosciences, 300 (2018), 87-101.Erratum: Mathematical Biosciences, 303 (2018), 155-156.

166. Global eradication for spatially structured populations by regional control.(in collaboration with S. Aniţa, & Ana-Maria Moşneagu)Discrete and Continuous Dynamical Systems- B, 24 (2019), 2511-2533.doi: 10.3934/dcdsb.2018263

165. Controlling an Alien Predator Population by Regional Controls(in collaboration with S. Aniţa and G. Dimitriu)Nonlinear Analysis: Real World Applications, 46 (2019), 82-97.

164. On the mean field approximation of a stochastic model of tumor-inducedangiogenesis.(in collaboration with F. Flandoli)Euro. Jnl. of Applied Mathematics, 30 (2019), 619–658.doi:10.1017/S0956792518000347

163. Some regional control problems for population dynamics.(in collaboration with L.-I. Aniţa, S. Aniţa, & A. M. Moşneagu)in ”Control Systems amd Mathematical Methods in Economics”(Feichtinger, G., Kovacecic, R.M., Tragler, G., Eds)

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Lecture Notes in Economics and Mathematical Systems, Springer, Heidel-berg, 2018. pp. 419–439.

162. Reaction-Diffusion Systems in Epidemiology.(in collaboration with S. Aniţa)arXiv:1703.02760; March 2017.

161. The interplay between models and public health policies: regional controlfor a class of spatially structured epidemics (think globally, act locally).(in collaboration with S. Aniţa)Mathematical Biosciences and Engineering, 15 (2018), 1-20.

160. On stochastic distributions and currents.(in collaboration with F. Flandoli)Mathematics and Mechanics of Complex Systems, 4 (2016), 373-406DOI: 10.2140/memocs.2016.4.373Special Issue in Honour of Lucio Russo.

159. Regional control in optimal harvesting problems.(in collaboration with S. Aniţa, & A. M. Moşneagu)Nonlinear Analysis 147 (2016), 191-212doi:10.1016/j.na.2016.09.008

158. Optimizing environmental taxation on physical capital for a spatiallystructured economic growth model including pollution diffusion(in collaboration with S. Anita, H. Kunze & D. La Torre)Vietnam Journal of Mathematics 45 (2017), 199-206.doi:10.1007/s10013-016-0215-x

157. On the mathematical modelling of tumor-induced angiogenesis.(in collaboration with L.L. Bonilla, M. Alvaro, M. Carretero,& F. Terragni)Mathematical Biosciences and Engineering, 14 (2017), 45–66.doi:10.3934/mbe.2017004.

156. Stochastic modelling and simulation of ion transport through channels.(in collaboration with D. Morale, M. Zanella, & W. Jaeger)Multiscale Modeling and Simulation, a SIAM Journal, 14 (2016), 113-137.

155. Stochastic model of tumor-induced angiogenesis: ensemble averages anddeterministic equations(in collaboration with F. Terragni, M. Carretero, & L. L. Bonilla)Physical Review E 93, 022413 (2016).

154. Dynamics and control of an integro-differential system of geographicaleconomics

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(in collaboration with S. Anita, H. Kunze & D. La Torre)Ann. Acad. Rom. Sci. Ser. Math. Appl., 7 (2015), 8-26.

153. Mathematical morphology and uncertainty quantification applied to thestudy of dual phase steel formation.(in collaboration with A. Micheletti, J. Nakagawa, A. A. Alessi, D. Morale,E. Villa)In ”Proceedings UNCECOMP 2015: Uncertainty Quantification in Com-putational Sciences and Engineering ( M. Papadrakakis, V. Papadopoulos,G. Stefanou, eds.) Crete Island, Greece, 2015. pp. 714–732.

152. Dynamics and control in a spatially structured economic growth modelwith pollution diffusion and environmental taxation.(in collaboration with S. Anita, H. Kunze & D. La Torre)Appl. Math. Letters, 42(2015), 36-40.

151. Hybrid modelling of tumor-induced angiogenesis.(in collaboration with L. L. Bonilla, M.Alvaro, & M. Carretero)Physical Review E 90, 062716 (2014).

150. Statistical methods for the analysis of stochastic fibre processes.(in collaboration with A. Micheletti)In Integrated multidisciplinary approaches in the study and care of the hu-man eye. Clinical experience, mathematical modelling, new technologies(P. Causin, et al. Eds.), Kugler Publications, Amsterdam, The Nether-lands, 2014, pp. 97-115.ISBN 9789062992416.

149. Optimal control problems of epidemic systems with parameter uncertain-ties. Application to a two-age-classes transmission model for malariatransmission with asymptomatic carriers.(in collaboration with G. Mwanga & H. Haario)Mathematical Biosciences, 261 (2015), 1-12.

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148. A stochastic geometric framework for dynamical birth-and-growth pro-cesses. Related statistical analysis.(in collaboration with G. Aletti & E. Bongiorno)In ”Progress in Industrial Mathematics at ECMI 2012” (M. Fontes et al.Eds), Springer Series ”Mathematics in Industry”, Heidelberg 2014. pp371-...

147. Inverse problems in geographical economics: parameter identification inthe spatial Solow model(in collaboration with R. Engbers & M.Burger)Phil. Trans. R. Soc. A 372 (2014) http://dx.doi.org/10.1098/rsta.2013.0402

146. Numerical experiments for the estimation of mean densities of randomsets.(in collaboration with F. Camerlenghi, & E. Villa)Image Analysis and Stereology, 33 (2014), 83-94.

145. Solving inverse problems for differential equations by a ”generalized col-lage” method and application to a mean field stochastic model.(in collaboration with Kunze, H. E.; La Torre, D. & Vrscay, E. R.)Nonlinear Anal. Real World Appl. 15 (2014), 276-289.

144. Optimal control and long-run dynamics for a spatial economic growthmodel with physical capital accumulation and pollution diffusion.(in collaboration with S. Anita, H. Kunze & D. La Torre)Appl. Math. Letters, 26(2013), 908-912. doi:10.1016/j.aml.2013.04.002.

143. On the estimation of the mean density of random closed sets.(in collaboration with F. Camerlenghi, & E. Villa)Journal of Multivariate Analysis 125 (2014),65-88. DOI:10.1016/j.

142. Randomness in Self-Organized Phenomena. A Case Study: Retinal An-giogenesis(in collaboration with D. Morale & G. Facchetti)BioSystems, (2013), doi:10.1016/j.biosystems.2013.01.003.

141. Randomness and Geometric Structures in Biology.In ”Pattern Formation in Morphogenesis. Problems and MathematicalIssues” (V.Capasso, M. Gromov, A. Harel-Bellan, N. Morozova, L.LouisePritchard, Eds) Springer Proceedings in Mathematics, 2013, Volume 15,Part 3, 283-289.

140. Stabilization of a reaction-diffusion system modelling malaria transmission(in collaboration with S. Anita).Invited paper for the Special Issue Honouring Avner Friedman. Discreteand Continuous Dynamical Systems, Series B, 17 (2012).

139. Solving inverse problems for biological models using the collage methodfor differential equations

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(in collaboration with H. E. Kunze, D. La Torre, & E. R. Vrscay)J. Math. Biology 67 (2013), no. 1, 25-38 DOI 10.1007/s00285-012-0515-z

138. Some results on the population behavior of cancer stem cells.(in collaboration with E. Beretta, & N. Morozova).In ”New Challenges for Cancer Systems Biomedicine”, A. d’Onofrio, P.Cerrai, A. Gandolfi (eds), Simai-Springer Series, Milan, 2012.

137. Mathematical Modelling of Cancer Stem Cells Population Behavior.(in collaboration with E. Beretta, & N. Morozova).Math. Model. Nat. Phenom., 7 (2012), 306–336.

136. A Multiscale Approach Leading to Hybrid Mathematical Models for An-giogenesis: the Role of Randomness. (in collaboration with D. Morale).In ”Mathematical Methods and Models in Biomedicine” (U. Ledzewiczet al, Eds). Lect. Notes Math. Model. Life Sci., Springer, New York,2013,pp. 87-115

135. The Role of Stochasticity for a Model of Retinal Angiogenesis (in collab-oration with D. Morale & G. Facchetti). IMA J. Appl. Math. 77 (2012),no. 6, 729747. doi:10.1093/imamat/hxs050

134. Stabilization of a reaction-diffusion system modelling a class of spatiallystructured epidemic systems via feedback control (in collaboration withS. Aniţa) Nonlinear Anal. Real World Appl. 13 (2012), 725-735

133. Population dynamics in a spatial Solow model with a convex-concave pro-duction function (in collaboration with R. Engbers & D. La Torre)In Mathematical and Statistical Methods for Actuarial Sciences and Fi-nance (C. Perna & M. Sibillo, Eds.) Springer, Heidelberg, 2012. pp.61-68.

132. Population dynamics in a patch growth model with S-shaped productionfunctions and migration effects (in collaboration with H.E. Kunze & D.La Torre)In Mathematical and Statistical Methods for Actuarial Sciences and Fi-nance (C. Perna & M. Sibillo, Eds.) Springer, Heidelberg, 2012. pp.69-78.

131. Integration in a dynamical stochastic geometric framework (in collabora-tion with G. Aletti, & E.G. Bongiorno) ESAIM Probab. Stat. 15 (2011),402416.

130. On the stochastic modelling of interacting populations. A multiscale ap-proach leading to hybrid models. (in collaboration with D. Morale)In Applied and Numerical Partial Differential Equations, (W. Fitzgibbonet al, Eds) Springer, New York, 2010. pp. 59-80.

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129. A fuzzy set-valued stochastic framework for birth-and-growth process.Statistical aspects (in collaboration with G. Aletti, & E.G. Bongiorno)In: Stereology and Image Analysis. Ecs10 - Proceedings of the 10th Eu-ropean Congress of ISS / ( V. Capasso, et al. Eds), Esculapio, (TheMIRIAM Project Series Vol. 4), Bologna, 2009; pp. 261-266.

128. On a spatial Solow model with technological diffusion and nonconcaveproduction function (in collaboration with R. Engbers & D. La Torre).Nonlinear analysis. Real world applications. 11(2010), 3858-3876.

127. On the stabilization of reaction-diffusion systems modeling a class of man-environment epidemics: a review (in collaboration with S. Anita). Math-ematical Methods in Applied Sciences. 33 (2010), 1235-1244.doi: 10.1002/mma.1267

126. Parameter identification for deterministic and stochastic differential equa-tions using the ”collage method” for fixed point equations. (in collabora-tion with H. E.Kunze, La Torre, D. & E.R. Vrscay) In Advances in Non-linear Analysis: Theory, Methods and Applications, Camb. Sci. Publ.,Cambridge, 2009. pp. 7183.

125. On the approximation of mean densities of random closed sets. (in col-laboration with L. Ambrosio & E. Villa) Bernoulli15 (2009), 1222–1242.

124. Statistical aspects of fuzzy monotone set-valued stochastic processes. Ap-plication to birth-and-growth processes. (in collaboration with G. Aletti& E. Bongiorno) Fuzzy Sets and Systems 160 (2009), 3140–3151.

123. Asymptotic behavior of a system of stochastic particles subject to nonlo-cal interactions.(in collaboration with D. Morale) Stoch. Anal. Appl.27(2009), 574–603.

122. Multiple scales and geometric structures: additional sources of random-ness. J. Math. Biol. 59 (2009), 143–146.

121. A stabilization strategy for a reaction-diffusion system modelling a classof spatially structured epidemic systems (think globally, act locally). (incollaboration with S. Aniţa) Nonlinear Anal. Real World Appl. 10 (2009),2026–2035.

120. Stochastic modelling of tumour-induced angiogenesis. (in collaborationwith D. Morale) J. Math. Biol. 58 (2009), 219–233.

119. A birth and growth model for kinetic-driven crystallization processes. I.Modeling. (in collaboration with D. Aquilano, A. Micheletti, S. Patti, L.Pizzocchero, & M. Rubbo) Nonlinear Anal. Real World Appl.10 (2009),71–92.

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118. Methods of stochastic geometry, and related statistical problems in theanalysis and therapy of tumour growth and tumour-driven angiogenesis.(in collaboration with E. Dejana & A. Micheletti) In ”Selected topics incancer modeling”, Birkhauser Boston, Boston, MA, 2008; pp. 299–335.

117. Rescaling stochastic processes: asymptotics. (in collaboration with D.Morale) In ” Multiscale problems in the life sciences”, Lecture Notes inMath., 1940, Springer, Berlin, 2008, pp. 91–146.

116. On the mean geometric densities of random closed sets, and their estima-tion: application to the estimation of the mean density of inhomogeneousfibre processes. (in collaboration with A. Micheletti) In ”Progress in In-dustrial Mathematics at ECMI 2006”, ECMI series on Math. Ind., Vol.12, Springer, Berlin, 2008; pp.3–34.

115. Stochastic geometric models, and related statistical issues in tumour-induced angiogenesis. (in collaboration with A. Micheletti & D. Morale)Math. Biosci. 214 (2008), 20–31.

114. Parameter identification in a random environment exemplified by a mul-tiscale model for crystal growth. (in collaboration with H. Engl, & S.Kindermann) Multiscale Model. Simul. 7 (2008), 814–841.

113. On the geometric densities of random closed sets. (in collaboration withE. Villa) Stoch. Anal. Appl. 26 (2008), 784–808.

112. On mean densities of inhomogeneous geometric processes arising in mate-rial science and medicine (in collaboration with E. Villa) Image AnalysisAnd Stereology. 26 (2007), 23-36.

111. On an aggregation model with long and short range interactions. (incollaboration with M. Burger & D. Morale) Nonlinear Anal. Real WorldAppl. 8 (2007), 939–958.

110. On the evolution equations of mean geometric densities for a class of spaceand time inhomogeneous stochastic birth-and-growth processes (in collab-oration with E. Villa) In ”Stochastic Geometry” (W. Weil, Editor) LectureNotes in Mathematics - CIME subseries - Springer, Heidelberg, 2007. pp.267-281.

109. On mean geometric densities arising in inhomogeneous birth-and-growthprocesses (in collaboration with E. Villa) In ”S4G - Stereology, SpatialStatistics, Stochastic Geometry ” (V. Benes, Editor),2006.

108. Mesoscale averaging of nucleation and growth models. (in collaborationwith M. Burger and L.Pizzocchero) Multiscale Modeling & Simulation : aSIAM Interdisciplinary Journal. 5(2006),564-592.

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107. On the continuity and absolute continuity of random closed sets. (incollaboration with E. Villa) Stochastic Analysis and Applications, 24(2006),381-397.

106. Stochastic geometry and related statistical problems in Biomedicine (incollaboration with A. Micheletti) In ”Complex Systems in Biomedicine ”( A. Quarteroni, Editor) Springer, Milano, 2006. pp 35-70.

105. An interacting particle system modelling aggregation behavior: from indi-viduals to populations. (in collaboration with D. Morale and K. Oelschlaeger)Journal of Mathematical Biology 50 (2005),49-66.

104. Estimation and prediction of a nonlinear model for price herding (in collab-oration with A. Bianchi and D. Morale). In ”Complex Models and Inten-sive Computational Methods for Estimation and Prediction” (C. Provasi,Ed.), Padova, 2005, pp. 365-370.

103. Survival functions and contact distribution functions for inhomogeneousstochastic geometric marked point processes. (in collaboration with E.Villa) Stochastic Analysis and Applications. 23(2005),79-96.

102. Mathematical models for HIV transmission among injecting drug users.(in collaboration with D. Morale) In ”Deterministic and Stochastic Mod-els of AIDS Epidemics and HIV Infections with Intervention”(Wai YuanTan, Hulin Wu, Editors), World Scientific Publishing Company, Singa-pore, 2005, pp.1-31.

101. Moving bands and moving boundaries with decreasing speed in polymercrystallization (in collaboration with R. Escobedo) Mathematical Modelsand Methods in Applied Sciences 15(2005),325-341.

100. Moving bands and moving boundaries in an hybrid model for the crystal-lization of polymers (in collaboration with R. Escobedo and C. Salani) In”Free Boundary Problems” (P.L. Colli et al , Eds.) Internat. Ser. Numer.Math., 147, Birkhäuser, Basel, 2004; pp.75-86.

99. The stochastic geometry of the crystallization process of polymers (incollaboration with A. Micheletti) In ”Free Boundary Problems” (P.L. Colliet al , Eds.) Internat. Ser. Numer. Math., 147, Birkhäuser, Basel, 2004;pp.197-205.

98. Optimal Control of Polymer Morphologies(in collaboration with M. Burger and A. Micheletti)Journal of Engineering Mathematics 49 (2004),339-358,

97. Shape and size in Biology and Medicine In Determinism, Holism, andComplexity (C.Pellegrini, et al Eds) Kluwer , Dordrecht, 2003. pp.153-169

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96. On the stochastic geometry of growth In Morphogenesis and Pattern For-mation in Biological Systems (T. Sekimura et al , Eds) Springer-VerlagTokyo 2003.pp.45-57.

95. Profitability in a multiple strategy market (in collaboration with G. Aletti)Decisions in Economics and Finance 26 (2003),145-152.

94. Reduction of a mathematical model for polymer crystallization (in col-laboration with R. Escobedo) In Progress in Industrial Mathematics atECMI2002, (Buikis at al , Eds.) Springer Verlag, Heidelberg, 2003.pp.259-264.

93. Modelling multi-dimensional crystallization of polymers in interaction withheat transfer. (in collaboration with M. Burger and C. Salani) NonlinearAnalysis Ser B , 3 (2002),139-160 .

92. A stabilizability problem for a reaction diffusion system modelling a classOf spatially structured epidemic systems. (in collaboration with S. Anita)Nonlinear Analysis : RWA 3 (2002), 453-464.

91. Modeling and simulating the crystallization of polymers via a many-particlesystem. (in collaboration with D. Morale and C. Salani) In . Progress inIndustrial Mathematics at ECMI2000 ( Anile, M., Capasso, V., Greco,A.,Editors) Mathematics in Industry Vol 1, Springer-Verlag, Heidelberg, 2002.Pp. 408-414.

90. Stochastic geometry of spatially structured birth and growth processes.Applications to polymer crystallization processes (in collaboration withA. Micheletti) In ” Topics in Spatial Stochastic Processes” (E.Merzbach,Ed.) Lecture Notes in Mathematics , CIME subSeries, Springer Verlag,2002

89. Mathematical modelling of the crystallization process polymers (in collab-oration with M.Burger and A. Micheletti) HERMIS 3(2002),135-163.

88. Reduction of dimension for spatial point processes ad right-continuousmartingales- Characterization of spatial Poisson processes. (in collabora-tion with G.Aletti) Stochastics and Stochastics Reports, 72 (2002),1-9.

87. Mathematical modelling and simulation of non-isothermal crystallizationof polymers. (in collaboration with M. Burger) Mathematical Models andMethods in Applied Sciences, 6 (2001), 1029-1053.

86. The local mean volume and surface densities for inhomogeneous randomsets (in collaboration with A. Micheletti) Rend Circ. Mat. Palermo Suppl.65 (2000),49-66.

85. Modeling the aggregative behaviour of ants of the species Polyergus Rufescens.(in collaboration with S. Boi and D. Morale ) Nonlinear Analysis. RealWorld Applications 1 (2000), 163-176.

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84. An interacting particle approach for the crystallization of polymers. (incollaboration with D. Morale, K. Oelschlaeger, C. Salani) In ”La Matemat-ica nelle Scienze della Vita e nelle Applicazioni” (G.L.Agnoli, M. Fabrizio,C. Vettori, Eds.), Pitagora Ed.,Bologna, 2000,pp.161-176.

83. Local spherical contact distribution function and local mean densitiesfor inhomogeneous random sets. (in collaboration with A. Micheletti)Stochastics and Stochastic Reports. 71 (2000),51-67 .

82. Stochastic birth and growth processes modelling crystallization of poly-mers with spatially heterogeneous parameters. (in collaboration with C.Salani) Nonlinear Analysis R.W.A. 1 (2000), 485-498.

81. Modelling and Parameter identification in non-isothermal crystallizationof polymers. (in collaboration with M. Burger, G. Eder, H.W.Engl)Progress in Industrial Mathematics at ECMI98 ( L.Arkeryd, J.Berg, P.Brenner,R. Pettersson , Eds) Teubner , Stuttgart ,1999. pp.114-121.

80. Crystallization of polymers with space and time heterogeneities. (In col-laboration with C. Salani) Progress in Industrial Mathematics at ECMI98( L.Arkeryd, J.Berg, P.Brenner, R. Pettersson , Eds) Teubner , Stuttgart,1999.

79. Polymer crystallization processes and incomplete Johnson Mehl tessella-tions. (In collaboration with A. Micheletti, G. Eder) Progress in IndustrialMathematics at ECMI98 ( L.Arkeryd, J.Berg, P.Brenner, R. Pettersson ,Eds) Teubner , Stuttgart ,1999.

78. Characterization of the spatial Poisson process by stopping lines. (in col-laboration with M. De Giosa and R. Mininni) Stochastics and StochasticsReports, 66(1999), 221-231.

77. Inverse problems related to crystallization of polymers (in collaborationwith M. Burger and H.W. Engl) Inverse Problems 15 (1999),155-173.

76. Characterization of spatial Poisson processes along Optional increasingpaths. A problem of dimension reduction. (in collaboration with G.Aletti) Statistics and Probability Letters 43 (1999),343-347.

75. Modeling animal behaviour: interactions and sources of stochasticity.(in collaboration with S. Boi, D. Morale and K. Oelschlaeger)Mathematics and Environment (P.Fergola, Ed.). RISMA, Napoli 1998.pp.40-55.

75. Mathematical models of HIV transmission among injecting drug users: amultipopulation model with random mixing. (in collaboration with D.Morale) Studi Urbinati, 1 (1997), 138-148.

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74. Stochastic modelling and morphological features of polymer crystalliza-tion processes. (in collaboration with I. Gialdini and A. Micheletti) In“Progress in Industrial Mathematics at ECMI 96” (M.Brons et al Eds.)Teubner, Stuttgart, 1997. pp.135-142.

73. The stochastic geometry of polymer crystallization processes (in collabora-tion with A. Micheletti) Stochastic Analysis and Applications 15 (1997),355-373 .

72. Analysis of a reaction-diffusion system modeling man- environment-manepidemics. (in collaboration with R.E. Wilson) SIAM J. Appl. Mathe-matics 57 (1997),327-346.

71. Environmental pollution and infectious diseases(in Italian) (invited paper)Atti Matematica e Ambiente I (V. Capasso and P.Fergola, Eds). RISMA,Napoli 1996. pp.41-52.

70. A multigroup model for HIV transmission among injecting drug users.(in collaboration with M.Villa) Differential Equations and Applicationsto Biology and to Industry (M. Martelli et al. Eds), World Scientific,Singapore, 1996. pp. 49-56.

69. Stochastic models for polymer crystallization (invited paper) Proc. HER-MIS ’96, Athens, 1996.

68. Stochastic modelling and statistics of polymer crystallization processes(invited paper). (in collaboration with A. Micheletti et al.) Surveys onMathematics for Industry 6 (1996),109-132.

67. Multistage models of HIV transmission among injecting drug users viashared drug injection equipment.( in collaboration with M.Villa et al)., J.Biological Systems (1996).

66. Markov models for the analysis of markers in the natural history of HIV-1/AIDS infection, and the correspondence markers vs survival (in Ital-ian). (in collaboration with A. Morabito et al.) Statistica Applicata 7(1995),331-344.

65. Reaction-diffusion systems modelling a class of spatially structured epi-demic systems. (invited paper) (in collaboration with R.E. Wilson), InNonlinear Problems in Applied Mathematics (Angell, Cook, Keinman,Olmstead, Eds.) Volume in Honour of I. Stakgold. SIAM ,Philadelphia,1995. pp.66-75.

64. Mathematical models for HIV transmission in groups of injecting drugusers via shared drug equipment. (in collaboration with F.Sicurello andM.Villa) J. Biological Systems 3 (1995),747-758.

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63. Epidemic reaction-diffusion systems with cross-diffusion: modeling andnumerical solution. (in collaboration with A. Di Liddo et al), J. BiologicalSystems 3 (1995),733-746.

62. Asymptotic properties of the maximum likelihood estimators of parame-ters of a spatial counting process modelling crystallization of polymers.(incollaboration with M.De Giosa and R. Mininni) Stochastic Analysis andApplications 13 (1995),279-294.

61. ”Asymptotic behaviour of reaction-diffusion systems in population andepidemic models. The role of cross diffusion”, (in collaboration with A.DiLiddo), Journal of Mathematical Biology 32 (1994),453-463.

60. ”Model building as an inverse problem in Biomathematics” (in collab-oration with B. Forte) In Frontiers in Mathematical Biology (S.A.Levin,Ed.), Lecture Notes in Biomathematics, Vol. 100., Springer-Verlag, Berlin,Heidelberg,1994.600-608.

59. Asymptotic behaviour of a nonlinear model for the geographical diffusionof innovations. (in collaboration with A. Di Liddo and L. Maddalena),Dynamic Systems and Applications 3 (1994),207-220.

58. Statistics of spatial counting processes modelling crystallization of poly-mers. (in collaboration with M.De Giosa et al.), Proceedings of ECMI 93(A.Fasano and M.Primicerio,Eds.) Teubner, Stuttgart, 1994, 157-165.

57. ”Polymer crystallization kinetics. The effect of impingement (in collabo-ration with D.Andreucci et al.) Math. Engng. Industry, 4 (1993),249-263.

56. ”Mathematical modelling of transmission mechanisms of infectious dis-eases. An overview” (Invited Paper) In Mathematics in Biology andMedicine (V.Capasso and J. Demongeot, Eds.), Wuerz Publ.,Winnipeg,Canada,1993.

55. ”Global attractivity for reaction-diffusion systems.The case of nondiagonaldiffusion matrices” (in collaboration with A. Di Liddo) J.Math.Anal.Appl.177 (1993),510-529.

54. ”Stochastic age dependent population dynamics with multiple births” (incollaboration with C.Birolini) In Mathematical Aspects of Human Dis-eases (G.Da Prato, ed.), Appl.Math.Monographs, CNR, Pisa,1992, pp.1-10.

53. ”Mathematical models for the diffusion of innovation (in collaborationwith M.Zonno) In ”Proceedings of the Fourth European Conference onMathematics in Industry” (Hj.Wacker and W.Zulehener,Eds.),Teubner,Stuttgartand Kluwer,Amsterdam,1991,225-233.

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52. ”A counting process approach for age-dependent epidemic systems” (in-vited paper) in Stochastic Processes in Epidemic Theory (J. P. Gabriel,C. Lefevre, Ph. Picard, Eds.) Lecture Notes in Biomathematics,Vol.86,Springer-Verlag, Heidelberg,Berlin, 1990.

51. Studies on infectious diseases based on the Volterra theory of populationdynamics (in Italian) (invited paper) in Il Pensiero Scientifico di Volterra,Accademia Marchigiana, Ancona, 1989.

50. ”Controlling the spread of a class of epidemics”, (in collaboration with V.Arnautu and V. Barbu).Appl. Math. Optimiz. 20 (1989), 297-317.

49. ”Reaction-diffusion models for the spread of a class of infectious diseases”(invited paper) in Second European Symposium on Mathematics in Indus-try (H. Neunzert, Ed.), Teubner, Stuttgart and Kluwer Ac. Pub., 1988pp. 181-194.

48. ”Global stability results for a multigroup SIR epidemic model” (invitedpaper) (in collaboration with E. Beretta),in Mathematical Ecology (T. G.Hallam, L. J. Gross, S. A. Levin, Eds.), World Scientific, Singapore 1988.

47. ”A counting process approach for stochastic age-dependent populationdynamics” (invited paper) in Biomathematics and Related ComputationalProblems (L. M. Ricciardi, Ed.), Kluwer Ac. Pub. 1988.

46. ”Qualitative properties of a generalized Lotka-Volterra system with dis-tributed delays. Applications to predatorprey and to epidemic systems,(in collaboration with E. Beretta and F. Rinaldi), J. Math. Biol. 26(1988), 661-688.

45. ”A threshold theorem for a reaction-diffusion epidemic system”. (in col-laboration with H. Thieme), in Differential equations and applications,Vol. I, II (Columbus, OH, 1988), 128133, Ohio Univ. Press, Athens, OH,1989.

44. ”A reaction-diffusion system arising in modelling man-environment dis-eases” (in collaboration with K. Kunisch), Quarterly Appl. Math. 46(1988), 431-450.

43. ”On the general structure of epidemic models”, (invited paper) (in col-laboration with E. Beretta), in Mathematical Modelling of Environmentand Ecological Systems (V. Capasso, T. G. Hallam, J. B. Shukla, EDS.)Elsevier, Amsterdam, 1987.

42. ”Mathematical methods for the control of infectious diseases” (invited pa-per) in Control Systems Governed by P.D.E.’s (I. Lasiecka, R. Triggiani,Eds.), Lecture Notes in Control and Information Sciences, Springer - Ver-lag, Heidelberg , Berlin, 1987, pp. 162-174.

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41. ”A degenerate nonlinear diffusion system with boundary feedback”, (incollaboration with L. Maddalena), Applicable Analysis 24 (1987), 265-288.

40. ”On the general structure of epidemic systems. Global asymptotic sta-bility. (Invited paper) (in collaboration with E. Beretta), Computers andMathematics in Applications 12A (1986), 677-694. Special issue in honourof ”R. Bellman”.

39. ”Mathematical models for man-environment epidemic diseases”, (Invitedpaper) in Mathematics and Computers in Biomedical Applications (J.Eisenfeld and C. De Lisi, Eds.) Elsevier (North-Holland), Amsterdam,1985, pp. 295-301.

38. ”A reaction-diffusion system modelling man-environment epidemics” (In-vited paper) (in collaboration with K. Kunisch) Annals of DifferentialEquations (China). 1 (1985), 1-12.

37. ”The influence of diffusion on epidemic models”, (in collaboration withL. Maddalena) Atti del IV Simposio di Dinamica di Popolazioni (Parma22-24 Ottobre 1981) 251-254 (1984).

36. ”Models for a class of man-environment epidemic diseases”, (Invited pa-per) in ”Mathematical Biology” (S. A. Levin. Ed.) Lecture Notes inBiomathematics, Vol. 54, Springer-Verlag; (1984), pp. 332-343.

35. ”Asymptotic stability for an integrodifferential reaction-diffusion system”J. Math. Anal. Appl. 103 (1984), 575-588.

34. ”A nonlinear epidemic system with boundary feedback” (Invited paper)(in collaboration with L. Maddalena), in Trends in the Theory and Prac-tice of Nonlinear Analysis (V. Lakshmikantham Ed.) North-Holland, Am-sterdam, 1984.

33. ”Analysis of the correlations for stochastic multicompartmental systems”(Invited paper) (in collaboration with S. L. Paveri-Fontana), Bulletin ofMathematical Biology 45 (1983), 555-569.

32. ”Co-variance matrices for stochastic multicompartmental systems”, (In-vited paper) (in collaboration with S. L. Paveri-Fontana), Rend. Sem.Mat. Univ. Polit. Torino, n.s. (1982), 575-588.

31. ”Comments on the statistical independence for linear stochastic multicom-partmental systems” (in collaboration with S. L. Paveri-Fontana, Bulletinof Mathematical Biology 45 (1983), 431-435

30. ”Periodic solutions for a reaction-diffusion system modelling the spread ofa class of epidemics” (in collaboration with L. Maddalena), SIAM Journalon Applied Mathematics 43 (1983), 417-427.

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29. ”Saddle point behaviour for a reaction-diffusion system. Application toa class of epidemic models” (Invited paper), (in collaboration with L.Maddalena). Mathematics and Computers in Simulation, 24 (1982), 540-547.

28. ”Transmission: Pattern and dynamics of infectious diseases”, (Group Re-port) In Population Biology of Infectious Diseases (R.M. Anderson andR. M.May, Eds.)Dahlem Konferenzen, Springer-Verlag, Heidelberg, 1982.

27. ”Periodic solutions for an epidemic model” (Invited paper), (in collabora-tion with L. Maddalena) In Evolution Equations and their Applications(F. Kappel and W. Schappacher, Eds.) Pitman, Boston, 1982.

26. ”Asymptotic behaviour for a system of nonlinear diffusion equations mod-elling the spread of oro-faecal diseases” (in collaboration with L. Mad-dalena) Rend. Accad. Sc. Fis. e Mat. Napoli 48 (1981), 475-495.

25. ”Convergence to equilibrium states for a reaction-diffusion system mod-elling the spatial spread of a class of bacterial and viral diseases” (incollaboration with L. Maddalena) Journal of Mathematical Biology 13(1981), 173-184

24. ”Some results on linear stochastic multicompartmental systems” (in col-laboration with S. L. Paveri-Fontana) Mathematical Biosciences 55 (1981),7-26.

23. ”Periodic solutions for a system of nonlinear differential equations mod-elling the evolution of oro-faecal diseases” (Invited paper) in NonlinearDifferential Equations: Stability, Invariance and Bifurcation. (P. De Mot-toni and L. Salvadori, Eds.), Academic Press, New York, (1981).

22. ”A Nonlinear diffusion system modelling the spread of oro-faecal diseases”(Invited paper) (in collaboration with L. Maddalena) in Nonlinear Phe-nomena in the Mathematical Sciences (V. Lakshmikantham, Ed.), Aca-demic Press, New York, 1981, pp. 207 -217.

21. ”I modelli matematici nella indagine epidemiologica. Il tifo addominale.Analisi delle serie temporali” (in collaboration with E. Grosso, G. Serio)Annali Sclavo 22 (1980) 189 -206.

20. ”An existence and uniqueness theorem for generalized birth and deathprocesses” (in collaboration with S. L. Paveri - Fontana) Annals of NuclearEnergy 7 (1980), 289 -296.

19. ”Asymptotic behaviour for a class of nonautonomous semilinear evolu-tion systems and application to a deterministic epidemic model” (in col-laboration with D. Fortunato) Nonlinear Analysis, Theory, Methods andApplications 4 (1980) 901 - 908.

16

18. ”A mathematical model for the 1973 cholera epidemic in the EuropeanMediterranean region” (in collaboration with S. L. Paveri-Fontana) Re-vue d’Epidemiologie et de la Sante’ Publique 27 (1979), 121-132. Erratacorrige 28 (1980), 390.

17. ”Stability results for semilinear evolution equations and their applicationsto some reaction-diffusion problems” (in collaboration with D. Fortunato)SIAM Journal on Applied Mathematics, 39 (1980), 37-47.

16. ”Linee di discussione per la definizione di un sistema informativo relativoalle malattie infettive(SIMI)” (in collaboration with E. Grosso, S. Pizzu-tilo) Igiene Moderna (1979)

15. ”Stability results for a diffusive nonlinear deterministic epidemic model”(in collaboration with D. Fortunato) Accademia Nazionale Lincei, Rendi-conti Scienze Fisiche, Matematiche e Naturali 64 (1978), 448-451.

14. ”Contributions to stochastic compartmental analysis” (in collaborationwith S. L. Paveri-Fontana) Accademia Nazionale Lincei. Rendiconti ScienzeFisiche, Matematiche e Naturali 64 (1978), 578-583.

13. Global solution for a diffusive nonlinear deterministic epidemic model”SIAM Journal on Applied Mathematics 35 (1978), 274-284.

12. ”A generalization of the Kermack-Mckendrick deterministic epidemic model”(in collaboration with G. Serio) Mathematical Biosciences 42 (1978), 43-61.

11. ”Saturation phenomena in epidemic models” (in collaboration with G. Se-rio) In Equazioni Differenziali Ordinarie di Equazioni Funzionali (EQUADFF ’78). R. Conti, G. Sestini, G. Villari, Editors; Firenze, 1978, pp. 79-90.

10. ”Global solution for a problem of neutron transport with temperaturefeedback” (in collaboration with G. Busoni, A. Belleni-Morante), In Non-linear Systems and Applications.(V. Lakshmikantham, Editor). AcademicPress, New York, 1977.

9. ”Global solution of a nonlinear neutron transport problem with temper-ature feedback” (in collaboration with G. Busoni, A. Belleni-Morante)Journal of Nonlinear Analysis: Theory, Methods and Applications (1977),651-665.

8. ”I modelli matematici nella indagine epidemiologica. I-Applicazione allaepidemia di colera verificatasi a Bari nel 1973” (in collaboration with E.Grosso, G. Serio) Annali Sclavo 19 (1977), 193-208.

7. ”A semigroup approach to the study of a general stochastic epidemic ”Stochastic Processes and their Applications 5 (1977), 285-296.

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6. ”A stochastic model for epidemics in two interacting regions of a largepopulation” Bollettino Unione Matematica Italiana 13 B (1976), 216-235.

5. ”Contributions to the Neyman-Scott model of epidemics” Bollettino UnioneMatematica Italiana 13 B (1976), 431-448.

4. ”On the general stochastic epidemic with immigration in large popula-tions” Transactions of the 1974 European Meeting of Statisticians and7-th Prague Conference on Information Theory, Statistical Decision Func-tions and Random Processes, Vol. A, pp. 83-96.

3. ”Sensitive observables of Quantum Mechanics” (in collaboration with D.Fortunato, F. Selleri) International Journal of Theoretical Physics 7 (1973),319-326.

2. ”Von Neumann’s theorem and hidden variable models” (in collaborationwith D. Fortunato, F. Selleri) Rivista del Nuovo Cimento 2 (1970), 149-199.

1. ”On the quantum numbers of the A-2 meson”, Lettere al Nuovo Cimento3 (1970). 83-87.

MONOGRAPHS - AUTHOR

7. An Introduction to Random Currents and Their Applications.Springer Briefs in Mathematics, Springer, New York, 2018.

6. An Introduction to Continuous - Time Stochastic Processes. Theory ,Models and Applications to Biology, Finance and Engineering.(in collaboration with D. Bakstein)Birkhäuser, Boston, 2005.Second Revised and expanded edition, 2012.Third Revised and expanded edition, 2015.

5. An Introduction to Optimal Control Problems in Life Sciences and Eco-nomics(in collaboration with S. Anita & V. Arnautu)Birkhäuser, Boston, 2011.

4. Introduzione al Calcolo Stocastico (in Italian). Appendix of:

A. Bazzani, M. Buiatti & P. Freguglia, Metodi Matematici per la Teoriadell’Evoluzione. Springer Verlag, Milano, 2011.

3. Una Guida allo Studio della Probabilitá e della Statistica Matematica (incollaboration with D. Morale) Soc. Ed. Esculapio, Bologna, 2009. SecondPrinting 2010.

2. Mathematical Structures of Epidemic Systems Lecture Notes in Biomath-ematics, Vol. 97. Springer-Verlag, Heidelberg, 1993. Second correctedprinting, 2008.

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1. Mathematical Modelling for Polymer Processing. Polymerization, Crys-tallization, Manufacturing (Editor and coAuthor) Mathematics in Indus-try Vol 2, Springer Verlag, Heidelberg 2003.

MONOGRAPHS - EDITOR

18. IWR Special Issue on Scientific Computing. Dedicated to Willi Jaeger’s75th Birthday.(co-Editor)Vietnam Journal of Mathematics, Volume 45, Issues 1-2 (2017), Pages1-316.

17. ”Pattern Formation in Morphogenesis. Problems and Mathematical Is-sues” (V.Capasso, M. Gromov, A. Harel-Bellan, N. Morozova, L.LouisePritchard, Eds) Springer Proceedings in Mathematics, 2013, Volume 15.

16. Multiscale Problems in Science and Technology (co-Editor)Special Issue of Nonlinear Anal. Real World Appl. Volume 11, Issue 6(2010), Pages 4489-4606.

15. Stereology and Image Analysis. Ecs10 - Proceedings of the 10th EuropeanCongress of ISS (co-Editor)The MIRIAM Project Series Vol. 4, Esculapio, Bologna, 2009.

14. Multiscale Problems in the Life Sciences. From microscopic to macro-scopic. (co-Editor)Lecture Notes in Mathematics- CIME Subseries- Vol. 1940. Springer-Verlag, Berlin, 2008.

13. Multidisciplinary Methods for Analysis, Optimization and Control of Com-plex Systems (coEditor and Author)Mathematics in Industry Vol 6, Springer Verlag, Heidelberg 2005.

12. Mathematical Modelling and Computing in Biology and Medicine (Editor)The MIRIAM Project Series, Esculapio Pub. Co., Bologna, 2003.

11. Mathematical Modelling for Polymer Processing. Polymerization, Crys-tallization, Manufacturing (Editor and coAuthor)Mathematics in Industry Vol 2, Springer Verlag, Heidelberg 2003.

10. Progress in Industrial Mathematics at ECMI2000 (co-Editor)Mathematics in Industry Vol 1, Springer Verlag, Heidelberg 2001

9. Computational Mathematics Driven by Industrial Problems (Co-Editor)Lecture Notes in Mathematics - CIME Subseries- Vol 1739 , Springer-Verlag, Heidelberg, 2000.

8. ”Mathematics Inspired by Biology” (co- Editor)Lecture Notes in Mathematics - CIME Subseries- Vol 1714, Springer-Verlag, Heidelberg, 1999.

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7. Mathematics Applied to Biology and Medicine(co-Editor)Wuerz Publ.,Winnipeg,Canada,1993.

6. Statistics of Spatial Processes. Theory and Applications (co-Editor)IRMA-CNR, Bari (Italy), 1993.

5. Mathematical Modeling of Industrial Processes (co-editor)Lecture Notes in Mathematics, Vol. 1521. Springer-Verlag, Berlin,Heidelberg,1992.

4. Mathematical Methods for Industrial Problems (co-editor)VSP, Zeist, NL, 1989.

3. Mathematical Modelling (co-editor)Proceedings of the 1st ECMI Modelling Week SASIAM, Tecnopolis (BA),Italy, 1988.

2. Mathematical Modelling of Environmental and Ecological Systems (co-editor)Elsevier, Amsterdam, 1987.

1. ”Mathematics in Biology and Medicine” (co-editor)Lecture Notes in Biomathematics 57, Springer-Verlag, Heidelberg, 1984.

MISCELLANEA

24. Come ci comporteremo domani? La prossima epidemia (in Italian)ArcipelagoMilano, May 31, 2020.

23. Preface: IWR special issue on scientific computing-dedicated to WilliJ́’ager’s 75th birthday. (in collaboration with H.G. Bock, M. Neuss-Radu,& H. X. Phu)Vietnam J. Math. 45 (2017), no. 1-2, 1-4.

22. Brownian Motion and Diffusions. In: International Encyclopedia of Sta-tistical Science (Miodrag Lovric, Ed.). Springer, Heidelberg, 2011, pp.181-185.

21. Axioms of Probability. In: International Encyclopedia of Statistical Sci-ence (Miodrag Lovric, Ed.). Springer, Heidelberg, 2011, pp. 77-79.

20. Biomatematica (in Italian). In: XXI secolo : l’Universo Fisico. Istitutodella Enciclopedia Italiana, Treccani, Roma, 2010. - pp. 399-408

19. Methods of stochastic geometry, and related statistical problems in Biol-ogy and Medicine (in collaboration with A. Micheletti) In: Electron andIon Microscopy and Micromanipulation : common principles and advancedmethods in applied sciences (M.D. Candia & M. Milani, Eds.). Esculapio(The Miriam Project ; Vol. 5), Bologna, 2010; pp. 213-232.

18. Il programma di formazione ECMI: the European Consortium for Math-ematics in Industry. CIIM-UMI, Bologna, 2006.

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17. A rigorous derivation of a nonlinear integro-differential equation from asystem of stochastic differential equations for an aggregation model. (incollaboration with D. Morale and K. Oelschlaeger) IWR-Universitaet Hei-delberg. Report 98-38 (1998).

16. Aggregation behaviour of the species Polyergus rufescens latr.: from realdata to mathematical models (in Italian). (in collaboration with S. Boi)Dipartimento di Matematica, Universitá di Milano, Report 37, Milano,1997.

15. Some thoughts about education in mathematics for industry. In ”ICIAM95” (K. Kirchgssner et al Eds.) Akademie Verlag, Berlin, 1996. pp.15-18.

14. Asymptotic behaviour of statistics concerning age-dependent birth-and-death processes. (in collaboration with R. Chiaromonte),Dipartimento di Matematica, Universitá di Milano, Report 36, Milano,1994.

13. ”A Discussion on Mathematical Models and Biomedical Applications” (inItalian)Statistica Applicata 6 (1994),33-36.

12. Modelling HIV transmission via shared drug equipment in groups of in-jecting drug users. (in collaboration with F. Sicurello and M.Villa)Proceedings of ”Econometrics of AIDS”, Barcelona, 1993.

11. Mathematical methods for image analysis (in collaboration with R. Caselli)Dipartimento di Matematica, Universitá di Milano, Report 55, Milano,1993.

10. ”Mathematical models for the quality control of coastal waters” (in Ital-ian) (in collaborazione con Di Liddo et al.) IRMA-CNR Report, Bari,1990.

9. ”Environmental pollution and mathematical modelling. A global ap-proach” ECMI Newsletter 8(1990),4-5.

8. ”An urban structure for monitoring and intervention on environmentalproblems” (in collaboration with C. Ferretti et al.)UNESCO-VEIN Work-shop on Monitoring and Management of Water Ecosystems with Helpof Mathematical Modelling and Space Technologies),Technical Report.Venice, 1990.

7. ”A stochastic model for nucleation in a polymer crystallization process”(in Italian) (in collaboration with L.Borrelli et al.) In Modelli Matem-atici ed Esperimenti di Cristallizzazione dei Polimeri, Himont TechnicalReport,Ferrara(Italy),1990.

6. ”Towards a Mathematical Biology” (in Italian). (Invited paper) NotiziarioUnione Matematica Italiana; Luglio 1984, pp. 24-30.

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5. Linear stochastic multicompartmental systems” (in collaboration with S.L. Paveri Fontana) Department of Engineering Science, State Universityof New York at Buffalo. Report n. 113, August 1979.

4. ”Stability results for a class of reaction-diffusion equations” (in collabora-tion with D. Fortunato) Proceedings of the Second International Confer-ence on Mathematical Modeling, St. Louis, USA, 11 - 13 Luglio 1979.(X.J. R. Avula, R. Bellman, Y. L. Luke and A. K. Rigler , Eds.) pp. 267 -274.

3. ”Boolean Algebras in Data Bases; a four valued Boolean Alegebra” (inItalian) Diploma Thesis of the Advanced School of Physics, Bari, 1972.

2. ”G.I.S.S.: A system for the creation and management of correlated files”(in collaboration with A. Circella, A. Silvestri, CSATA, Bari, Marzo 1971.

1. ”A three - valued logic for the computation of complex Boolean functions”(in Italian) (in collaboration with A. Circella, A. Silvestri) CSATA, Bari,Marzo 1971.

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