Question: Consider the epidemic model leading to the system in Expression (3.153). Choose the constants as (a=2.0) days (^{-1}, d=3.0) days (^{-1}), and (r=1.0) day (^{-1}).

Consider the epidemic model leading to the system in Expression (3.153). Choose the constants as \(a=2.0\) days \(^{-1}, d=3.0\) days \(^{-1}\), and \(r=1.0\) day \(^{-1}\). What are the eigenvalues of the coefficient matrix? Find the solution of the system assuming an initial population of 1,000 and one infected individual. Plot the solutions for \(t=0.0\) to 5. 0 days and describe what is happening over this time. Is this model realistic?

From 3.153

D 0 ?) (! S 0 d dt ( S I D

D 0 ?) (! S 0 d dt ( S I D -a r a -d-r 0 0 d

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