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On the uniqueness of endemic equilibria of an HIV/AIDS transmission model for a heterogeneous population.

作者信息

Lin X D

机构信息

Department of Mathematics, University of Alberta, Edmonton, Canada.

出版信息

J Math Biol. 1991;29(8):779-90. doi: 10.1007/BF00160192.

DOI:10.1007/BF00160192
PMID:1940669
Abstract

In this paper, we examine an HIV/AIDS transmission model which has been widely used for studying the spread of HIV/AIDS through sexual contact. Some sufficient conditions are obtained for the uniqueness of endemic equilibrium. We also present a two-group model whose no-disease equilibrium is unstable but it has at least three positive endemic equilibria.

摘要

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本文引用的文献

1
A preliminary study of the transmission dynamics of the human immunodeficiency virus (HIV), the causative agent of AIDS.对人类免疫缺陷病毒(HIV,即艾滋病致病原)传播动力学的初步研究。
IMA J Math Appl Med Biol. 1986;3(4):229-63. doi: 10.1093/imammb/3.4.229.
2
The transmission dynamics of human immunodeficiency virus (HIV).人类免疫缺陷病毒(HIV)的传播动力学
Philos Trans R Soc Lond B Biol Sci. 1988 Oct 31;321(1207):565-607. doi: 10.1098/rstb.1988.0108.
3
On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS). Part 1: Single population models.
J Math Biol. 1989;27(4):373-98. doi: 10.1007/BF00290636.
4
AIDS: the epidemiological significance of two different mean rates of partner change.艾滋病:两种不同的性伴侣更换平均率的流行病学意义。
IMA J Math Appl Med Biol. 1990;7(1):27-32.