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

作　　者：S. Athithan Mini Ghosht 

机构地区：[1]Division of Mathematics School of Advanced SciencesVIT University, Chennai CampusChennai 600127, Tamilnadu, India

出　　处：《International Journal of Biomathematics》2014年第5期103-117,共15页生物数学学报（英文版）

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 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.

关 键 词：HIV AIDS HETEROSEXUAL global stability simulation 

分 类 号：O175[理学—数学] TP393.08[理学—基础数学]