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

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 po...

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Bibliographic Details
Main Authors: Ibrahim H. I. Ahmed, Peter J. Witbooi, Kailash Patidar
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/275902
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