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AVIAN INFLUENZA OPTIMAL SEASONAL VACCINATION STRATEGY

Part of: Control systems Mathematical biology in general

Published online by Cambridge University Press:  12 January 2011

F. B. AGUSTO  and
O. R. OGUNYE
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.

Keywords

optimal controlavian influenzamigratory birdsoptimality systemseasonality

MSC classification

Secondary: 92B05: General biology and biomathematics 93C15: Systems governed by ordinary differential equations
Type
Research Article
Information
The ANZIAM Journal , Volume 51 , Issue 4 , April 2010 , pp. 394 - 405
Copyright
Copyright © Australian Mathematical Society 2011

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