AVIAN INFLUENZA OPTIMAL SEASONAL VACCINATION STRATEGY

被引:6
|
作者
Agusto, F. B. [1 ]
Ogunye, O. R. [2 ]
机构
[1] Univ Tennessee, Natl Inst Math & Biol Synth, Knoxville, TN 37996 USA
[2] Fed Univ Technol Akure, Dept Math Sci, Akure, Nigeria
来源
ANZIAM JOURNAL | 2010年 / 51卷 / 04期
关键词
optimal control; avian influenza; migratory birds; optimality system; seasonality; MODELS; TRANSMISSION; DYNAMICS; DISEASE;
D O I
10.1017/S1446181110000891
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页码:394 / 405
页数:12
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