Optimal control of vaccine distribution in a rabies metapopulation model.

Optimal control of vaccine distribution in a rabies metapopulation model.
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DOI:
10.3934/mbe.2008.5.219
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发表时间:
2008-03
期刊:
Mathematical biosciences and engineering : MBE
影响因子:
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通讯作者:
E. Asano;L. Gross;S. Lenhart;L. Real
E. Asano;L. Gross;S. Lenhart;L. Real
中科院分区:
其他
文献类型:
--
作者:
E. Asano;L. Gross;S. Lenhart;L. Real

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我们考虑狂犬病在浣熊中传播的SIR集合种群模型。这个常微分方程系统考虑了通过运动连接的亚种群。浣熊的疫苗是通过食物诱饵分发的。我们应用最优控制理论,以找到最佳的时间分配疫苗在每个链接的亚群在整个景观。选择这一策略是为了通过尽可能减少感染数量,同时考虑疫苗接种成本,以最佳方式限制疾病。
We consider an SIR metapopulation model for the spread of rabies in raccoons. This system of ordinary differential equations considers subpopulations connected by movement. Vaccine for raccoons is distributed through food baits. We apply optimal control theory to find the best timing for distribution of vaccine in each of the linked subpopulations across the landscape. This strategy is chosen to limit the disease optimally by making the number of infections as small as possible while accounting for the cost of vaccination.