Global stability of a two-stage epidemic model with generalized non-linear incidence
Global stability of a two-stage epidemic model with generalized non-linear incidence
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DOI：
10.1016/s0378-4754(02)00002-2
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发表时间：
2002-07
期刊：
影响因子：
--
通讯作者：
S. Moghadas;A. Gumel
中科院分区：
文献类型：
--
作者：
S. Moghadas;A. Gumel
本文建立了一个多阶段疾病传播模型，并对该模型进行了定性分析。该模型表现出两个稳定状态，即：无病状态和唯一的地方病状态。该模型的全局稳定性表明，无病平衡点是全局渐近稳定的（因此疾病可以根除），提供了一定的阈值R0（称为基本再生数）小于1。另一方面，当R0> 1时，唯一的地方病平衡点是全局渐近稳定的。
A multi-stage model of disease transmission, which incorporates a generalized non-linear incidence function, is developed and analysed qualitatively. The model exhibits two steady states namely: a disease-free state and a unique endemic state. A global stability of the model reveals that the disease-free equilibrium is globally asymptotically stable (and therefore the disease can be eradicated) provided a certain threshold R0(known as the basic reproductive number) is less than unity. On the other hand, the unique endemic equilibrium is globally asymptotically stable for R0>1 .