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

页码：93 / 101

页数：9

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