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The Model: Moving From State to State

t=0. The Model: Moving From State to State. Simplified Model: Two states: = susceptible, = infected (SI Model). Some Simple Disease Models. The Model: Moving From State to State. More complex models: SI, SEI, SEIR, etc. S = susceptible, E = exposed, I = infected, R = recovered

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The Model: Moving From State to State

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  1. t=0 The Model: Moving From State to State Simplified Model: Two states: = susceptible, = infected (SI Model)

  2. Some Simple Disease Models

  3. The Model: Moving From State to State More complex models: SI, SEI, SEIR, etc. S = susceptible, E = exposed, I = infected, R = recovered (or removed)

  4. t=0 Irreversible 2-Threshold Process

  5. t=1 t=0 Irreversible 2-Threshold Process

  6. t=1 t=2 Irreversible 2-Threshold Process

  7. g f a e b c d Irreversible 3-Threshold Process t = 0

  8. g f a e b c d Irreversible 3-Threshold Process g f a e b c d t = 0 t = 1

  9. Irreversible 3-Threshold Process g g f a f a e b e b c d c d t = 1 t = 2

  10. A Simple Model (k = 1) (v = 3)

  11. A Simple Model

  12. A Simple Model

  13. A Simple Model

  14. A Simple Model

  15. A Simple Model

  16. A Simple Model

  17. Assumptions: • 1 firefighter is deployed per time step • Fire starts at one vertex • Grid is finite (stops at the edges)

  18. Saving Vertices in

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