Differential Equations Solutions 102

Differential Equations Solutions 102 - (d) In this...

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112 Chapter 19. Solutions: Case Study: Models of Infection: Person to Person 0 2 4 6 8 10 12 14 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 day Proportion of individuals Disease Status with tau = 0.200000, delta = 0.010000, nu= 0.100000 Infected Susceptible Recovered Vaccinated Figure 19.3. Proportion of individuals infected by day in a 10 × 10 grid of hospital beds, with infection rate τ =0 . 2 , mobility rate δ =0 . 01 , and vaccination rate ν =0 . 1 . column of A , so it could be computed without multiplications.)
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Unformatted text preview: (d) In this experiment, it took 280 Monte Carlo simulations to get 2 digits of accuracy. Asking for 3 digits raises the number of trials into the ten thousands, since the variance is high relative to this threshold. (e) There is only one path to state Q, corresponding to a single infection, and the product of the probabilities of transitions along this path are (1 ) 4 . There are...
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