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AVIAN INFLUENZA OPTIMAL SEASONAL VACCINATION STRATEGY

Published online by Cambridge University Press:  12 January 2011

F. B. AGUSTO*
Affiliation:
National Institute for Mathematical and Biological Synthesis, The University of Tennessee, Knoxville, TN 37996, USA (email: fbagusto@gmail.com)
O. R. OGUNYE
Affiliation:
Department of Mathematical Sciences, Federal University of Technology Akure, P.M.B. 704, Akure, Nigeria (email: orogunye@yahoo.co.uk)
*
For correspondence; e-mail: fbagusto@gmail.com
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Abstract

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We present an application of optimal control theory to a simple SIR disease model of avian influenza transmission dynamics in birds. Basic properties of the model, including the epidemic threshold, are obtained. Optimal control theory is adopted to minimize the density of infected birds subject to an appropriate system of ordinary differential equations. We conclude that an optimally controlled seasonal vaccination strategy saves more birds than when there is a low uniform vaccination rate as in resource-limited places.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2011

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