Existence and Multiplicity of Positive Almost Periodic Solutions for a Non-autonomous SIR Epidemic Model

被引：0
作者：
Yaqin Li
Tianwei Zhang
机构：
[1] Kunming University,Department of Mathematics
[2] Kunming University of Science and Technology,City College
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2016年 / 39卷
关键词：
Almost periodic solution; Multiplicity; Coincidence degree; Epidemic model; 34K14; 92D25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, a non-autonomous SIR epidemic model with almost periodic transmission rate and a constant removal rate is considered. By means of Mawhin’s continuous theorem of coincidence degree, some new sufficient conditions for the existence and multiplicity of positive almost periodic solutions to the model are established. Further, the global asymptotical stability of positive almost periodic solution of the model is also investigated by constructing a suitable Lyapunov functional. Finally, some examples and numerical simulations are given to illustrate the main results.
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页码：359 / 379
页数：20
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