The Ross-Macdonald model in a patchy environment
The Ross-Macdonald model in a patchy environment
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DOI：
10.1016/j.mbs.2008.08.010
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发表时间：
2008-12-01
影响因子：
4.3
通讯作者：
Tsanou, Berge
中科院分区：
文献类型：
--
作者：
Auger, Pierre;Kouokam, Etienne;Tsanou, Berge
我们将描述疟疾动态的罗斯-麦克唐纳模型推广到 n 个补丁。我们将一些补丁可以是无矢量的这一事实纳入我们的模型中。我们假设主机可以在补丁之间迁移，但向量不能。易感者和传染者具有相同的传播率。我们计算基本繁殖率R-0。我们证明，如果R-0 1，我们证明存在一个独特的地方性平衡，在生物领域减去无病平衡时，该平衡是全局渐近稳定的。 (C) 2008 Elsevier Inc. 保留所有权利。
We generalize to n patches the Ross-Macdonald model which describes the dynamics of malaria. We incorporate in our model the fact that some patches can be vector free. We assume that the hosts can migrate between patches, but not the vectors. The susceptible and infectious individuals have the same dispersal rate. We compute the basic reproduction ratio R-0. We prove that if R-0 1, we prove that there exists a unique endemic equilibrium, which is globally asymptotically stable on the biological domain minus the disease-free equilibrium. (C) 2008 Elsevier Inc. All rights reserved.