Question

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Page 7 pulmts) A disease outbreak shows a rate of infection given by the differential equation dI e21-3(13- 12-421), dt for t measured in days and I(t) representing the number of infected individuals (in hundreds) at time t. Answer the questions below, showing all work and putting a box around your final answer. (a) (3 points) Find the biologically relevant equilibria of this differential equation. (b) (3 points) State the relevant stability theorem and use it to classify the stability of the equilibria in (a). 12P Recall that we are considering dI e2-3(13-12-421), dt (c) (2 points) Draw a phase line diagram (phase portrait) for this disease outbreak. (d) (1 point) If the number of individuals infected initially is I(0) = 3 (hundred) , what is your long-term prognosis for this epidemic?

Answer 1

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