Stability analysis of an SIS epidemic model with feedback mechanism on networks
Stability analysis of an SIS epidemic model with feedback mechanism on networks
复制标题
具有网络反馈机制的SIS流行病模型的稳定性分析
DOI：
10.1016/j.physa.2013.09.058
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发表时间：
2014-01-15
影响因子：
3.3
通讯作者：
Sun, Jitao
中科院分区：
文献类型：
--
作者：
Zhang, Jiancheng;Sun, Jitao
研究了一类具有反馈机制的网络传染病模型.得到了基本再生数R-0，并分析了无病平衡点E和地方病平衡点E* 的稳定性。当R-0 < 1时，无病平衡点是全局渐近稳定的;当R-0 > 1时，地方病平衡点是渐近稳定的。虽然我们证明了反馈机制不能改变基本再生数R，但应该指出，它可以削弱疾病的传播，降低地方病水平。最后，通过数值仿真验证了反馈机制的稳定性和有效性。(C)2013爱思唯尔有限公司版权所有。
In this paper, an epidemic model with feedback mechanism on networks is investigated. We obtain the basic reproductive number R-0, and analyze the stability behaviors of disease-free equilibrium E and endemic equilibrium E*. When R-0 < 1, the disease-free equilibrium is globally asymptotically stable, and when R-0 > 1, the endemic equilibrium is asymptotically stable. Although the feedback mechanism cannot change the basic reproductive number R as we prove, it should be indicated that it can weaken the spreading of diseases and reduce the endemic level. Finally, the results of the stability and the effectiveness of the feedback mechanism are illustrated by some numerical simulations. (C) 2013 Elsevier B.V. All rights reserved.