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The Model: Moving From State to State
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Simplified Model: Two states: = susceptible, = infected (SI Model)
t=0
Some Simple Disease Models
The Model: Moving From State to State
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More complex models: SI, SEI, SEIR, etc.
S = susceptible, E = exposed, I = infected, R = recovered (or removed)
Irreversible 2-Threshold Process
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t=0
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t=1t=0
Irreversible 2-Threshold Process
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t=1 t=2
Irreversible 2-Threshold Process
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Irreversible 3-Threshold Process
t = 0
a
e
d c
b
f
g
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Irreversible 3-Threshold Process
t = 0
a
e
d c
b
f
g
a
e
d c
b
f
g
t = 1
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Irreversible 3-Threshold Process
t = 1
a
e
d c
b
f
g
a
e
d c
b
f
g
t = 2
A Simple Model (k = 1) (v = 3)
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A Simple Model
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A Simple Model
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A Simple Model
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A Simple Model
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A Simple Model
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A Simple Model
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Assumptions:1. 1 firefighter is deployed per time step2. Fire starts at one vertex3. Grid is finite (stops at the edges)
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Saving Vertices in
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nml PPP
21111633 )),,(,( PPPMVS
,)),,(,( 33911133 nPPPMVS n 6n
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