Analysis of a sex-structured HIV/AIDS model with the effect of screening of infectives-Reference-Cited by-同舟云学术

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

Published:2014-08-20 Issue:05 Volume:07 Page:1450054
ISSN:1793-5245
Container-title:International Journal of Biomathematics
language:en
Short-container-title:Int. J. Biomath.

Author:

Athithan S.¹,Ghosh Mini¹

Affiliation:

1. Division of Mathematics, School of Advanced Sciences, VIT University, Chennai Campus, Chennai 600127, Tamilnadu, India

Abstract

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 ℛ0 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793524514500545

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