Consider the following initial value problem arising from the SIRS model for transmission of disease. Recall...
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Consider the following initial value problem arising from the SIRS model for transmission of disease. Recall that S(t) denotes the number of susceptible individuals (in millions) and I(t) denotes the number of infected individuals (in millions). S'SI+0.5(1-S-I) I'SI-0.5I S(0) = 4/5, I(0) = 1/5 (a) Let y(t) What is the corresponding numerical approximation to I(t) at time t = 0.1? (b) (Python) Use Forward Euler's method to approximate and plot y(t) using h = 0.1 for t in [0, 20]. In the long run, about how many people will be infected? Using h= 0.1 carry out Forward Euler's method by hand to find yo and y₁. Consider the following initial value problem arising from the SIRS model for transmission of disease. Recall that S(t) denotes the number of susceptible individuals (in millions) and I(t) denotes the number of infected individuals (in millions). S'SI+0.5(1-S-I) I'SI-0.5I S(0) = 4/5, I(0) = 1/5 (a) Let y(t) What is the corresponding numerical approximation to I(t) at time t = 0.1? (b) (Python) Use Forward Euler's method to approximate and plot y(t) using h = 0.1 for t in [0, 20]. In the long run, about how many people will be infected? Using h= 0.1 carry out Forward Euler's method by hand to find yo and y₁.
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