Backward bifurcation in a stage-structured epidemic model

被引：8
作者：
Zhang, Fengqin [2 ]
Zhao, Tian [1 ,2 ]
Liu, Hanwu [2 ]
Chen, Yuming [3 ]
机构：
[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China
[2] Yuncheng Univ, Dept Appl Math, Yuncheng 044000, Shanxi, Peoples R China
[3] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
来源：
APPLIED MATHEMATICS LETTERS | 2019年 / 89卷
基金：
加拿大自然科学与工程研究理事会; 中国国家自然科学基金;
关键词：
Epidemic model; Stage structure; Equilibrium; Backward bifurcation; VACCINATION; STABILITY;
D O I：
10.1016/j.aml.2018.10.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A stage-structured epidemic model is proposed under the assumptions that the disease can only be transmitted among adults and that there is also intraspecific competition among them. We study the existence of equilibria and also obtain their local stability, which implies the occurrence of backward bifurcation. Moreover, sufficient conditions on the global stability of some equilibria are provided. (C) 2018 Elsevier Ltd. All rights reserved.
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页码：85 / 90
页数：6
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