Literature DB >> 1940669

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

X D Lin1.   

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.

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Year:  1991        PMID： 1940669     DOI： 10.1007/bf00160192

Source DB:  PubMed          Journal:  J Math Biol        ISSN： 0303-6812            Impact factor:   2.259


  4 in total

1.  AIDS: the epidemiological significance of two different mean rates of partner change.

Authors:  J A Jacquez; C P Simon
Journal:  IMA J Math Appl Med Biol       Date:  1990

Review 2.  The transmission dynamics of human immunodeficiency virus (HIV).

Authors:  R M May; R M Anderson
Journal:  Philos Trans R Soc Lond B Biol Sci       Date:  1988-10-31       Impact factor: 6.237

3.  On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS). Part 1: Single population models.

Authors:  C Castillo-Chavez; K Cooke; W Huang; S A Levin
Journal:  J Math Biol       Date:  1989       Impact factor: 2.259

4.  A preliminary study of the transmission dynamics of the human immunodeficiency virus (HIV), the causative agent of AIDS.

Authors:  R M Anderson; G F Medley; R M May; A M Johnson
Journal:  IMA J Math Appl Med Biol       Date:  1986
  4 in total
  2 in total

1.  An SIS epidemic model with variable population size and a delay.

Authors:  H W Hethcote; P van den Driessche
Journal:  J Math Biol       Date:  1995       Impact factor: 2.259

2.  Population size dependent incidence in models for diseases without immunity.

Authors:  J Zhou; H W Hethcote
Journal:  J Math Biol       Date:  1994       Impact factor: 2.259
  2 in total

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