The Volterra-Lyapunov matrix theory for global stability analysis of a model of the HIV/AIDS  

作　　者：Moosarreza Shamsyeh Zahedi Narges Shayegh Kargar 

机构地区：[1]Department of Mathematics, Payame Noor University P. O. Box 19395-3697, Tehran, Iran

出　　处：《International Journal of Biomathematics》2017年第1期13-33,共21页生物数学学报（英文版）

摘　　要：In this paper, we analyze a nonlinear mathematical model of the HIV/AIDS and screening of unaware infectives on the transmission dynamics of the disease in a homoge- neous population with constant immigration of susceptibles incorporating use of condom, screening of unaware infectives and treatment of the infected. We consider constant con- trols and thereafter by incorporating the theory of Volterra-Lyapunov stable matrices into the classical method of Lyapunov functions, we present an approach for global stability analysis of HIV/AIDS. The analysis and results presented in this paper make building blocks toward a comprehensive study and deeper understanding of the funda- mental mechanism in HIV/AIDS. A numerical study of the model is also carried out to investigate the analytical results.

关 键 词：Global stability human immunodeficiency virus （HIV） dynamical systems Volterra-Lyapunov stability. 

分 类 号：O175.6[理学—数学] TP13[理学—基础数学]