Avian Influenza optimal seasonal vaccination strategy

Folashade Agusto, O. R. Ogunye


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.



optimal control; avian influenza; migratory birds; optimality system; seasonality

DOI: https://doi.org/10.21914/anziamj.v51i0.1199

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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.