Global dynamics of a network-based SIQRS epidemic model with demographics and vaccination
Global dynamics of a network-based SIQRS epidemic model with demographics and vaccination
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DOI：
10.1016/j.cnsns.2016.07.014
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发表时间：
2017-02-01
影响因子：
3.9
通讯作者：
Chen, Lijuan
中科院分区：
文献类型：
--
作者：
Huang, Shouying;Chen, Fengde;Chen, Lijuan
研究了一类新的具有人口统计和疫苗接种的SIQRS传染病模型。我们解析地导出了基本再生数R-0，它不仅决定了地方病平衡点的存在性，而且决定了模型的全局动态性。详细证明了疾病的持久性和无病平衡点的全局渐近稳定性。利用单调迭代技巧，证明了在一定条件下唯一的地方病平衡点是全局吸引的。我们的结果确实改进和丰富了Li等人（2014）[14]的结果。有趣的是，基本繁殖数R-0与度依赖出生无关，但我们的模拟表明度依赖出生确实影响了流行动力学。此外，我们发现，检疫比接种疫苗在控制疾病方面发挥更积极的作用。(C)2016爱思唯尔B. V.保留所有权利。
This paper investigates a new SIQRS epidemic model with demographics and vaccination on complex heterogeneous networks. We analytically derive the basic reproduction number R-0, which determines not only the existence of endemic equilibrium but also the global dynamics of the model. The permanence of the disease and the globally asymptotical stability of disease-free equilibrium are proved in detail. By using a monotone iterative technique, we show that the unique endemic equilibrium is globally attractive under certain conditions. Our results really improve and enrich the results in Li et al (2014) [14]. Interestingly, the basic reproduction number R-0 bears no relation to the degree-dependent birth, but our simulations indicate that the degree-dependent birth does affect the epidemic dynamics. Furthermore, we find that quarantine plays a more active role than vaccination in controlling the disease. (C) 2016 Elsevier B.V. All rights reserved.