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.
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页数：18
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