GLOBAL STABILITY FOR A HIV/AIDS MODEL

被引：14
|
作者：
Silva, Cristiana J. [1 ]
Torres, Delfim F. M. [1 ]
机构：
[1] Univ Aveiro, Dept Math, Ctr Res & Dev Math & Applicat CIDMA, P-3810193 Aveiro, Portugal
来源：
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2018年 / 67卷 / 01期
关键词：
HIV/AIDS mathematical model; global stability; Lyapunov functions;
D O I：
10.1501/Commual_0000000833
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate global stability properties of a HIV/AIDS population model with constant recruitment rate, mass action incidence, and variable population size. Existence and uniqueness results for disease-free and endemic equilibrium points are proved. Global stability of the equilibria is obtained through Lyapunov's direct method and LaSalle's invariance principle.
引用
收藏
页码：93 / 101
页数：9
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