Question: A disease with classes S, I and Ris represented by the following system of differential equations ds = -BSI + yR, dt dI =

A disease with classes S, I and Ris represented by the following

system of differential equations ds = -BSI + yR, dt dI =

A disease with classes S, I and Ris represented by the following system of differential equations ds = -BSI + yR, dt dI = BS I - ul, dt (4) %3D dR = ul - yR, dt where B, y and are positive parameters. (ii) Use the rescalings s = S/N, i = I/N, T = BNt, c = /(BN) and d = y/(BN) to non-dimensionalise this model. [6 marks] (iii) Calculate the steady states of the non-dimensionalised model derived in part (ii) and their stability. What are the conditions for the disease to die out? [7 marks]

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Giern je differenthal Eguation ds BSI YR di 2 dt de YR 3 Integrat oe and we get Jas Scpss... View full answer

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