Global stability for an SEI model of infectious disease with immigration
Global stability for an SEI model of infectious disease with immigration
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DOI：
10.1016/j.amc.2014.06.020
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发表时间：
2014-09-15
影响因子：
4
通讯作者：
McCluskey, C. Connell
中科院分区：
文献类型：
--
作者：
Sigdel, Ram P.;McCluskey, C. Connell
我们研究了一个疾病传播的SEI模型，其中移民进入了这三个类别。对于发病率，我们考虑了对传染病数量的非线性反应，包括作为特例的群体作用和饱和发病率。没有无病的平衡，因此没有基本的繁殖数。对于所有参数值，唯一的均衡是地方性均衡。利用Lyapunov函数，我们证明了该平衡点是全局渐近稳定的。(C)2014 Elsevier Inc.保留所有权利。
We study an SEI model of disease transmission with immigration into all three classes. For incidence, we allow for a nonlinear response to the number of infectives, including mass action and saturating incidence as special cases. There is no disease-free equilibrium and therefore no basic reproduction number. For all parameter values, the only equilibrium is an endemic equilibrium. Using a Lyapunov function, we show that this equilibrium is globally asymptotically stable. (C) 2014 Elsevier Inc. All rights reserved.