Global stability of multigroup epidemic model with group mixing and nonlinear incidence rates
Global stability of multigroup epidemic model with group mixing and nonlinear incidence rates
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DOI：
10.1016/j.amc.2011.05.056
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发表时间：
2011-09
期刊：
影响因子：
--
通讯作者：
Ruoyan Sun;Junping Shi
中科院分区：
文献类型：
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作者：
Ruoyan Sun;Junping Shi
本文对一类具有非线性传染率和非线性隔室迁移函数的多群SEIR模型引入了一个基本再生数。然后，我们建立了全球动态完全由基本再生数R 0。结果表明，基本再生数R 0是一个全局阈值参数，当R 0小于等于1时，无病平衡点全局稳定，疾病消亡;当R 0大于1时，存在唯一的地方病平衡点全局稳定，疾病在种群中持续存在.最后，两个数值例子也被包括来说明所提出的结果的有效性。
In this paper, we introduce a basic reproduction number for a multigroup SEIR model with nonlinear incidence of infection and nonlinear removal functions between compartments. Then, we establish that global dynamics are completely determined by the basic reproduction number R0. It shows that, the basic reproduction number R0is a global threshold parameter in the sense that if it is less than or equal to one, the disease free equilibrium is globally stable and the disease dies out; whereas if it is larger than one, there is a unique endemic equilibrium which is globally stable and thus the disease persists in the population. Finally, two numerical examples are also included to illustrate the effectiveness of the proposed result.