Global stability of endemic equilibrium of an epidemic model with birth and death on complex networks
Global stability of endemic equilibrium of an epidemic model with birth and death on complex networks
复制标题
复杂网络上具有出生和死亡的流行病模型的流行平衡的全局稳定性
DOI：
10.1016/j.physa.2017.02.050
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发表时间：
2017-07-01
影响因子：
3.3
通讯作者：
Zhou, Wenshu
中科院分区：
文献类型：
--
作者：
Wei, Xiaodan;Xu, Gaochao;Zhou, Wenshu
研究了复杂网络上具有出生和死亡的流行病模型的流行病平衡的全局稳定性。在一定条件下，Zhang和Jin（2011）对相关网络建立了地方性平衡的局部渐近稳定性，Chen和Sun（2014）对不相关网络获得了地方性平衡的全局渐近稳定性。在这项工作中，我们消除了这些条件，并通过构造Lyapunov函数证明了地方性平衡是全局渐近稳定的。数值模拟结果验证了该方法的可行性。(C) 2017 Elsevier B.V.版权所有
We study global stability of endemic equilibrium of an epidemic model with birth and death on complex networks. Under some conditions, the local asymptotic stability of the endemic equilibrium was established by Zhang and Jin (2011) for correlated networks, and the global asymptotic stability was obtained by Chen and Sun (2014) for uncorrelated networks. In this work, we remove those conditions, and prove by constructing a Lyapunov function that the endemic equilibrium is globally asymptotically stable. Numerical simulations are also presented to illustrate the feasibility of the result. (C) 2017 Elsevier B.V. All rights reserved.