Exercise 0.3 Suppose that vaccination strategies are implemented for newborns, so that notall newborns are considered susceptible. If the vaccination rate per capita is p, then a newbornbecomes vaccinated with probability p. The modified model now takes the formds=(1-p)µN - BS-dtS - μS - PSN=BS-N(μ + y) I(0.3)dtdV=pμN+I+pS - µVdt(a) Find the basic reproduction number Ro by the next generation matrix method.(b) Analyze the stability of the disease-free equilibrium of this modelExercise 0.4 Consider the following discrete time epidemic modelSn+1=(1-p)v + Sn - B-BSn In- µSnNIn+1(0.4)=In + 3√n In- In - μInNRn+1=vp + Rn+In - μRni. Identify the model and describe the parameters involved in the model.ii. Determine the basic reproduction number Ro using the next generation matrix method.dI[

Answered: Image /qna-images/answer/215abaa9-6a46-428e-b8b5-0f128d6091ee.jpg

Answered: Exercise 0.3 Suppose that vaccination…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 25EQ

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