Backward bifurcation in a malaria transmission model

被引:10
|
作者
Xing, Yanyuan [1 ,2 ]
Guo, Zhiming [1 ]
Liu, Jian [1 ]
机构
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
[2] Luliang Univ, Dept Math, Luliang, Peoples R China
基金
中国国家自然科学基金;
关键词
Global stability; basic reproductive number; limited resource; backward bifurcation; malaria transmission; DYNAMICS; MOSQUITOS; DENGUE; INFECTION;
D O I
10.1080/17513758.2020.1771443
中图分类号
Q14 [生态学(生物生态学)];
学科分类号
071012 ; 0713 ;
摘要
This paper proposes a malaria transmission model to describe the dynamics of malaria transmission in the human and mosquito populations. This model emphasizes the impact of limited resource on malaria transmission. We derive a formula for the basic reproductive number of infection and investigate the existence of endemic equilibria. It is shown that this model may undergo backward bifurcation, where the locally stable disease-free equilibrium co-exists with an endemic equilibrium. Furthermore, we determine conditions under which the disease-free equilibrium of the model is globally asymptotically stable. The global stability of the endemic equilibrium is also studied when the basic reproductive number is greater than one. Finally, numerical simulations to illustrate our findings and brief discussions are provided.
引用
收藏
页码:368 / 388
页数:21
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