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Using the three difference equations listed of the SIR model, create a 3 column population model in Google Sheets which shows the population from time step 1 to time step 300. Let your starting populations be: S[t] = 99, I[t] = 1, R[t] = 0. Let alpha = 0.001, and let γ = 0.05. a. Create a line graph showing the populations of S[t], I[t], and R[t] through time. b. Holding all other variables constant, try increasing and decreasing the infection coefficient a. How does changing the value of alpha affect the behavior of the model? c. Holding all other variables constant, vary the infection coefficient γ (by increasing and decreasing the value). How does changing the value of γ affect the behavior of the model? Why?

Using the three difference equations listed of the SIR model, create a 3 column population model in Google Sheets which shows the population from time step 1 to time step 300. Let your starting populations be: S[t] = 99, I[t] = 1, R[t] = 0. Let alpha = 0.001, and let γ = 0.05. a. Create a line graph showing the populations of S[t], I[t], and R[t] through time. b. Holding all other variables constant, try increasing and decreasing the infection coefficient a. How does changing the value of alpha affect the behavior of the model? c. Holding all other variables constant, vary the infection coefficient γ (by increasing and decreasing the value). How does changing the value of γ affect the behavior of the model? Why?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
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  1. Using the three difference equations listed of the SIR model, create a 3 column population model in Google Sheets which shows the population from time step 1 to time step 300. Let your starting populations be: S[t] = 99, I[t] = 1, R[t] = 0. Let alpha = 0.001, and let γ = 0.05.

a. Create a line graph showing the populations of S[t], I[t], and R[t] through time.

b. Holding all other variables constant, try increasing and decreasing the infection coefficient a. How does changing the value of alpha affect the behavior of the model?

c. Holding all other variables constant, vary the infection coefficient γ (by increasing and decreasing the value). How does changing the value of γ affect the behavior of the model? Why?

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