Question 2. We have shown in lectures that the basic reproduction number for the SIS model is given by Ro = K with eradication of the disease when Ro < 1. (a) Find the solution for I(t) for the case Ro = 1. (You may assume that the total population is conserved). (b) Use your solution from (a) to show that lim I(t)=0 when Ro=1. (That is, we have eradication when Ro = 1).

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Question 2. We have shown in lectures that the basic reproduction number for the SIS model is given by Ro = K
with eradication of the disease when Ro < 1.
(a) Find the solution for I(t) for the case Ro= 1. (You may assume that the total population is conserved).
(b) Use your solution from (a) to show that lim I(t)=0 when Ro=1. (That is, we have eradication when Ro = 1).
Transcribed Image Text:Question 2. We have shown in lectures that the basic reproduction number for the SIS model is given by Ro = K with eradication of the disease when Ro < 1. (a) Find the solution for I(t) for the case Ro= 1. (You may assume that the total population is conserved). (b) Use your solution from (a) to show that lim I(t)=0 when Ro=1. (That is, we have eradication when Ro = 1).
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