文章基本信息

标题：Global dynamics of SEIRS epidemic model with non-linear generalized incidences and preventive vaccination
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作者：Muhammad Altaf Khan ; Qaisar Badshah ; Saeed Islam 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2015
卷号：2015
期号：1
页码：88
DOI：10.1186/s13662-015-0429-3
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we present the global dynamics of an SEIRS epidemic model for an infectious disease not containing the permanent acquired immunity with non-linear generalized incidence rate and preventive vaccination. The model exhibits two equilibria: the disease-free and endemic equilibrium. The disease-free equilibrium is stable locally as well as globally when the basic reproduction number R 0 1 ${\mathcal{R}}_(>1$ . Moreover, the endemic equilibrium is stable both locally and globally when R 0 > 1 ${\mathcal{R}}_(>1$ . We show the global stability of an endemic equilibrium by a geometric approach. Further, numerical results are presented to validate the theoretical results. Finally, we conclude our work with a brief discussion.
关键词：SEIRS epidemic model ; generalized non-linear incidence rate ; basic reproduction number ; global stability ; numerical simulations