Endemic dynamics in a host-parasite epidemiological model within spatially heterogeneous environment

被引：4
|
作者：
Cai, Yongli [1 ]
Wang, Zhaojuan [1 ]
Wang, Weiming [1 ]
机构：
[1] Huaiyin Normal Univ, Sch Math Sci, Huaiyin 223300, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2016年 / 61卷
关键词：
Parasite-free; Parasite-driven extinction; Positive stationary solution; Bounded continuum;
D O I：
10.1016/j.aml.2016.05.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the endemic dynamics in a host parasite model under combined frequency- and density-dependent transmission in a spatially heterogeneous environment. We give some properties of the parasite-free and parasite-driven extinction stationary solutions, and prove that the positive stationary solution set forms a bounded continuum which connects the parasite-free and parasite-driven extinction stationary solutions sets. (C) 2016 Elsevier Ltd. All rights reserved.
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页码：129 / 136
页数：8
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