Global stability of endemic equilibrium for a SIQRS epidemic model on complex networks

Global stability of endemic equilibrium for a SIQRS epidemic model on complex networks
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复杂网络上 SIQRS 流行病模型的地方流行平衡的全局稳定性

DOI:
10.1016/j.physa.2018.08.119
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发表时间:
2018-12
期刊:
Physica A: Statistical Mechanics and Its Applications
影响因子:
--
通讯作者:
Zhou Wenshu
Zhou Wenshu
中科院分区:
其他
文献类型:
--
作者:
Wei Xiaodan;Xu Gaochao;Zhou Wenshu

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研究了复杂网络上一类SIQRS传染病模型的地方病平衡点的全局稳定性。该模型是由Li等人提出的。(2014)。用它们证明了无病平衡点的局部渐近稳定性和疾病的持久性。结合Lyapunov函数方法和单调迭代技巧,证明了地方病平衡点是全局渐近稳定的。数值模拟表明,隔离策略是预防和控制疫情传播的有效措施。
We study the global stability of endemic equilibrium of a SIQRS epidemic model on complex networks. This model was proposed by Li et al. (2014). The local asymptotic stability of disease-free equilibrium and the permanence of the disease were proved by them. By use of a combination of Lyapunov function method and a monotone iterative technique, we prove that the endemic equilibrium is globally asymptotically stable. Numerical simulations indicate that quarantine strategy is an effective measure in preventing and controlling epidemic spreading.
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