The periodic Ross-Macdonald model with diffusion and advection
The periodic Ross-Macdonald model with diffusion and advection
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DOI：
10.1080/00036810903437804
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发表时间：
2010-01-01
影响因子：
1.1
通讯作者：
Zhao, Xiao-Qiang
中科院分区：
文献类型：
--
作者：
Lou, Yijun;Zhao, Xiao-Qiang
在这篇文章中，我们提出了一个具有扩散和平流的周期Ross-Macdonald型模型来研究人和蚊子的流动性对疟疾传播的可能影响。我们建立了存在的传播速度和传播速度的最小波速在左，右方向，分别与他们的重合。对于有界区域上的模型，我们得到了零周期解或正周期解全局吸引性的一个阈值结果。
In this article, we propose a periodic Ross-Macdonald type model with diffusion and advection to study the possible impact of the mobility of humans and mosquitoes on malaria transmission. We establish the existence of the leftward and rightward spreading speeds and their coincidence with the minimum wave speeds in the left and right directions, respectively. For the model in a bounded domain, we obtain a threshold result on the global attractivity of either zero or the positive periodic solution.