An SIS patch model with variable transmission coefficients
An SIS patch model with variable transmission coefficients
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DOI：
10.1016/j.mbs.2011.05.001
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发表时间：
2011-08-01
影响因子：
4.3
通讯作者：
Ruan, Shigui
中科院分区：
文献类型：
--
作者：
Gao, Daozhou;Ruan, Shigui
本文建立了一个具有非常数传播系数的SIS斑块模型，研究了媒介覆盖和人员流动对传染病在斑块间传播的影响。确定基本再生数R-0。结果表明，无病平衡点是全局渐近稳定的，如果R-0 1。特别地，当疾病是非致命性的，并且每个斑块中的易感个体和传染性个体的旅行率相同时，地方病平衡点是唯一的，并且当R-0 > 1时是全局渐近稳定的。数值计算表明，两个补丁的情况下，一些结果。(C)2011 Elsevier Inc. All rights reserved.
In this paper, an SIS patch model with non-constant transmission coefficients is formulated to investigate the effect of media coverage and human movement on the spread of infectious diseases among patches. The basic reproduction number R-0 is determined. It is shown that the disease-free equilibrium is globally asymptotically stable if R-0 1. In particular, when the disease is non-fatal and the travel rates of susceptible and infectious individuals in each patch are the same, the endemic equilibrium is unique and is globally asymptotically stable as R-0 > 1. Numerical calculations are performed to illustrate some results for the case with two patches. (C) 2011 Elsevier Inc. All rights reserved.