Mathematical analysis of a tuberculosis model with differential infectivity

被引：40
|
作者：
Bowong, Samuel [1 ]
Tewa, Jean Jules [2 ]
机构：
[1] Univ Douala, Fac Sci, Dept Math & Comp Sci, Lab Appl Math, Douala, Cameroon
[2] Univ Yaounde I, Dept Math & Phys, Natl High Sch Polytech, Yaounde, Cameroon
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2009年 / 14卷 / 11期
关键词：
Lyapunov functions; Stability; Epidemiological models; Tuberculosis; LYAPUNOV FUNCTIONS; STABILITY ANALYSIS; GLOBAL PROPERTIES; SYSTEMS; DYNAMICS; SEIR;
D O I：
10.1016/j.cnsns.2009.02.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the global properties of a tuberculosis model with mass action incidence and two differential infectivity. The direct Lyapunov method enables us to prove that the considered model is globally stable: There is always a globally asymptotically stable equilibrium state. Depending on the value of the basic reproduction number R-0, this state can be either endemic (R-0 > 1), or infection-free (R-0 <= 1). Numerical results are provided to illustrate analytical results. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：4010 / 4021
页数：12
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