Publisher： Cambridge University Press
E-ISSN： 1446-8735|51|4|394-405
ISSN： 1446-1811
Source： ANZIAM Journal, Vol.51, Iss.4, 2011-01, pp. : 394-405
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Abstract
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.
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