Traveling waves and spread rates for a West Nile virus model
Traveling waves and spread rates for a West Nile virus model
复制标题
DOI：
10.1007/s11538-005-9018-z
复制
发表时间：
2006-01-01
影响因子：
3.5
通讯作者：
Van den Driessche, P
中科院分区：
文献类型：
--
作者：
Lewis, M;Renclawowicz, J;Van den Driessche, P
开发并分析了西尼罗河病毒空间传播的反应扩散模型。感染动力学基于鸟类和蚊子之间交叉感染模型的修改版本（Wonham 等，2004，西尼罗河病毒流行病学模型：入侵分析和控制应用。Proc. R. Soc. Lond. B 271），扩散术语描述鸟类和蚊子的运动。使用该模型的简化版本，利用交叉感染动力学的协作性质来证明行波的存在并计算感染的空间传播率。比较定理结果用于表明简化模型的传播率可以为更现实和更复杂的模型版本的传播率提供上限。
A reaction-diffusion model for the spatial spread of West Nile virus is developed and analysed. Infection dynamics are based on a modified version of a model for cross infection between birds and mosquitoes (Wonham et al., 2004, An epidemiological model for West-Nile virus: Invasion analysis and control application. Proc. R. Soc. Lond. B 271), and diffusion terms describe movement of birds and mosquitoes. Working with a simplified version of the model, the cooperative nature of cross-infection dynamics is utilized to prove the existence of traveling waves and to calculate the spatial spread rate of infection. Comparison theorem results are used to show that the spread rate of the simplified model may provide an upper bound for the spread rate of a more realistic and complex version of the model.