Global stability for a discrete SIS epidemic model with immigration of infectives
Global stability for a discrete SIS epidemic model with immigration of infectives
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DOI：
10.1080/10236198.2011.602973
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发表时间：
2012-10
影响因子：
1.1
通讯作者：
Yoichi Enatsu;Y. Nakata;Y. Muroya
中科院分区：
文献类型：
--
作者：
Yoichi Enatsu;Y. Nakata;Y. Muroya
本文利用后向欧拉方法，从具有传染病移民的连续时间SIS传染病模型出发，建立了一个离散时间SIS传染病模型。对于离散化模型，利用新的李雅普诺夫函数技巧，得到了无病平衡点和地方病平衡点的全局渐近稳定性，其中R0是连续时间模型的基本再生数.这只是一个离散模拟的连续SIS传染病模型与移民的传染病。
In this paper, we propose a discrete-time SIS epidemic model which is derived from continuous-time SIS epidemic models with immigration of infectives by the backward Euler method. For the discretized model, by applying new Lyapunov function techniques, we establish the global asymptotic stability of the disease-free equilibrium for and the endemic equilibrium for , where R 0 is the basic reproduction number of the continuous-time model. This is just a discrete analogue of a continuous SIS epidemic model with immigration of infectives.