Differential Equations Solutions 120

Differential Equations Solutions 120 - 130 Chapter 21....

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130 Chapter 21. Solutions: Case Study: More Models of Infection: It’s Epidemic 0 10 20 30 40 50 60 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 time proportion of population Solution from Ordinary Differential Equation Model Infected Susceptible Recovered Figure 21.1. Proportion of individuals infected by the epidemic from the ode Model 1 or the dae Model 2. (b) The matrix A canbeexpressedas A = T I + I T , where T = 1 h 2 22 1 21 .. . .. . 1 2 2 , and T and the identity matrix I are matrices of dimension n × n . (The notation C D denotes the matrix whose (
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