Stability analysis in a class of discrete SIRS epidemic models
Stability analysis in a class of discrete SIRS epidemic models
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一类离散SIRS流行病模型的稳定性分析
DOI：
10.1016/j.nonrwa.2011.12.024
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发表时间：
2012-10-01
影响因子：
2
通讯作者：
Jiang, Haijun
中科院分区：
文献类型：
--
作者：
Hu, Zengyun;Teng, Zhidong;Jiang, Haijun
本文讨论了一类离散时间SIRS传染病模型的动力学行为。得到了无病平衡点和地方病平衡点的存在性和局部稳定性条件。数值模拟不仅验证了结果的正确性，而且还显示了更为复杂的动力学行为，如翻转分岔、Hopf分岔和混沌现象。这些结果揭示了离散传染病模型比连续传染病模型更丰富的动力学行为。(C)2012爱思唯尔有限公司保留所有权利。
In this paper, the dynamical behaviors of a class of discrete-time SIRS epidemic models are discussed. The conditions for the existence and local stability of the disease-free equilibrium and endemic equilibrium are obtained. The numerical simulations not only illustrate the validity of our results, but also exhibit more complex dynamical behaviors, such as flip bifurcation, Hopf bifurcation and chaos phenomenon. These results reveal far richer dynamical behaviors of the discrete epidemic model compared with the continuous epidemic models. (C) 2012 Elsevier Ltd. All rights reserved.