The backward bifurcation of a model for malaria infection

被引：8

作者：

Wang, Juan ^{[1
,2
]}

Li, Xue-Zhi ^{[3
]}

Bhattacharya, Souvik ^{[4
]}

机构：

[1] Zhengzhou Univ, Dept Math, Zhengzhou 450000, Henan, Peoples R China

[2] Xinyang Normal Univ, Dept Math, Xinyang 464000, Peoples R China

[3] Anyang Inst Technol, Coll Math & Phys, Anyang 455000, Peoples R China

[4] Univ Florida, Dept Math, Gainesville, FL 32611 USA

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2018年 / 11卷 / 02期

关键词：

Host-vector disease model; basic reproduction number; equilibrium; backward bifurcation; global stability; STABILITY; TRANSMISSION;

D O I：

10.1142/S1793524518500183

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, an epidemic model of a vector-borne disease, namely, malaria, is considered. The explicit expression of the basic reproduction number is obtained, the local and global asymptotical stability of the disease-free equilibrium is proved under certain conditions. It is shown that the model exhibits the phenomenon of backward bifurcation where the stable disease-free equilibrium coexists with a stable endemic equilibrium. Further, it is proved that the unique endemic equilibrium is globally asymptotically stable under certain conditions.

引用

页数：18

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