Backward bifurcation and global dynamics of an SIS epidemic model with general incidence rate and treatment

被引：67
|
作者：
Zhang, Xu [1 ,2 ]
Liu, Xianning [1 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Key Lab Ecoenvironm Gorges Reservoir Reg 3, Minist Educ, Chongqing 400715, Peoples R China
[2] Chongqing Normal Univ, Elementary Educ Coll, Chongqing 400700, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 02期
关键词：
SIS; Treatment; Backward bifurcation; Global stability; BEHAVIOR;
D O I：
10.1016/j.nonrwa.2007.10.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An SIS epidemic model with treatment is proposed. The incidence rate of the model, which can include the bilinear incidence rate and the standard incidence rate, is a general nonlinear incidence rate. The global dynamics of the model are studied and then we can understand the effect of the capacity for treatment. It is found that a backward bifurcation occurs and there exist bistable endemic equilibria if the capacity is low. Mathematical results suggest that decreasing the basic reproduction number is insufficient for disease eradication and improving the efficiency and capacity of treatment is important for this end. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：565 / 575
页数：11
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