Global analysis of a dynamical model for transmission of tuberculosis with a general contact rate
Global analysis of a dynamical model for transmission of tuberculosis with a general contact rate
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DOI：
10.1016/j.cnsns.2010.01.007
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发表时间：
2010-11-01
影响因子：
3.9
通讯作者：
Tewa, Jean Jules
中科院分区：
文献类型：
--
作者：
Bowong, Samuel;Tewa, Jean Jules
This paper deals with the global analysis of a dynamical model for the spread of tuberculosis with a general contact rate The model exhibits the traditional threshold behavior We prove that when the basic reproduction ratio is less than unity, then the disease-free equilibrium is globally asymptotically stable and when the basic reproduction ratio is great than unity, a unique endemic equilibrium exists and is globally asymptotically stable under certain conditions. The stability of equilibria is derived through the use of Lyapunov stability theory and LaSalle's invariant set theorem. Numerical simulations are provided to illustrate the theoretical results (C) 2010 Elsevier B V All rights reserved
