Analysis of a sex-structured HIV/AIDS model with the effect of screening of infectives

被引：8

作者：

Athithan, S. ^{[1
]}

Ghosh, Mini ^{[1
]}

机构：

[1] VIT Univ, Sch Adv Sci, Div Math, Madras 600127, Tamil Nadu, India

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2014年 / 7卷 / 05期

关键词：

HIV; AIDS; heterosexual; global stability; simulation; HIV-INFECTION; TRANSMISSION; AIDS; STABILITY; EPIDEMIC; DYNAMICS; DISEASES; SPREAD;

D O I：

10.1142/S1793524514500545

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper presents a nonlinear sex-structured mathematical model to study the spread of HIV/AIDS by considering transmission of disease by heterosexual contact. The epidemic threshold and equilibria for the model are determined, local stability and global stability of both the "Disease-Free Equilibrium" (DFE) and "Endemic Equilibrium" (EE) are discussed in detail. The DFE is shown to be locally and globally stable when the basic reproductive number R-0 is less than unity. We also prove that the EE is locally and globally asymptotically stable under some conditions. Finally, numerical simulations are reported to support the analytical findings.

引用

页数：15

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