Suppose a population structure according to a disease is described with the following equations ds =11-BIS+yR-S,...
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Suppose a population structure according to a disease is described with the following equations ds =11-BIS+yR-µS, dt dl BSI-vl-ul, =vl-YR-uR. dt dR dt (a) Describe all the terms in the model. (b) Derive the basic reproduction ratio Ro. (e) Determine all the model equilibria and investigate the stability of the disease free equilibrium point. (d) State an example of a disease which could have the similar dynamics. [5] [5] [8] [2] Suppose a population structure according to a disease is described with the following equations ds =11-BIS+yR-µS, dt dl BSI-vl-ul, =vl-YR-uR. dt dR dt (a) Describe all the terms in the model. (b) Derive the basic reproduction ratio Ro. (e) Determine all the model equilibria and investigate the stability of the disease free equilibrium point. (d) State an example of a disease which could have the similar dynamics. [5] [5] [8] [2]
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a The terms in the model are S Susceptible individuals I Infected individuals R RecoveredRemoved ind... View the full answer
Related Book For
Applied Regression Analysis and Other Multivariable Methods
ISBN: 978-1285051086
5th edition
Authors: David G. Kleinbaum, Lawrence L. Kupper, Azhar Nizam, Eli S. Rosenberg
Posted Date:
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