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一类含有非线性传染率的传染病模型的全局稳定性
引用本文:王拉娣.一类含有非线性传染率的传染病模型的全局稳定性[J].应用数学与计算数学学报,2004,18(1):52-56.
作者姓名:王拉娣
作者单位:山西财经大学应用数学系,太原,030006
摘    要:讨论了一类带有非线性传染率的SIRS型传染病模型,得到了无病平衡点和地方病平衡点存在的阈值条件,借助构造Dulac函数和Liapunov函数,找到了两类平衡点全局渐近稳定的充要条件.

关 键 词:传染病模型  阈值  平衡点  稳定性
修稿时间:2004年2月10日

Global Stability of an Epidemic Model with Nonlinear Incidence Rate
Wang Ladi.Global Stability of an Epidemic Model with Nonlinear Incidence Rate[J].Communication on Applied Mathematics and Computation,2004,18(1):52-56.
Authors:Wang Ladi
Institution:Wang Ladi Department of Applied Mathematics,Shanxi University of Finance and Economics,Taiyuan 030006 Department of Applied Mathematics,Shanghai University,Shanghai 200436
Abstract:An epidemic model with nonlinear incidence rate is investigated in this paper. The threshold of endemic equilibriums is found. By means of constructing Dulac function and Liapunov function, the necessary and sufficient condition which guarantee the global asymptotic stability of equilibriums are obtained.
Keywords:Epidemic model  threshold  equilibrium  stability
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