Modeling the Dynamics of an Epidemic under Vaccination in Two Interacting Populations

Ibrahim H. I. Ahmed, Peter J. Witbooi and Kailash Patidar

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: We present a model for an SIR epidemic in a population consisting of two components—locals and migrants. We identify three equilibrium points and we analyse the stability of the disease free equilibrium. Then we apply optimal control theory to find an optimal vaccination strategy for this 2‐group population in a very simple form. Finally we support our analysis by numerical simulation using the fourth order Runge‐Kutta method.

Date: 2012
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https://doi.org/10.1155/2012/275902

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:275902

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