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Differential Equations Solutions 100

Differential Equations Solutions 100 - the MATLAB program...

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110 Chapter 19. Solutions: Case Study: Models of Infection: Person to Person 0 5 10 15 20 25 30 35 40 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 day Proportion of individuals Disease Status with tau = 0.200000 Infected Susceptible Recovered Figure 19.1. Proportion of individuals infected by day in a 10 × 10 grid of hospital beds, with infection rate τ = 0 . 2 . CHALLENGE 19.6. (a) The transition probabilities are given in Figure 19.5, and the matrix is given in
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Unformatted text preview: the MATLAB program found on the website. (b) Ae 1 is equal to column 1 of A , which contains the probabilities of transitioning from state 1 to any of the other states. More generally, if p is a vector of probabilities of initially being in each of the states, then Ap is the vector of probabilities of being...
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