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

页码：4010 / 4021

页数：12

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