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Literature DB >> 6707537

Coevolution: mathematical analysis of host-parasite interactions.

Abstract

An S----I----S epidemic transmitted by two similar strains of parasite acting on a host population of three genotypes which differ in their reaction to the disease is modelled and analyzed. Singular perturbation techniques are used to reduce the original system of nine differential equations to a coupled system of two equations describing the slowtime coevolution of gene frequency and parasite strain frequency.

Mesh：

Year: 1984 PMID： 6707537 DOI： 10.1007/bf00275931

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

4 in total

1. The effect of epidemics on genetic evolution.

Authors: K Beck; J P Keener; P Ricciardi
Journal: J Math Biol Date: 1984 Impact factor: 2.259

2. On the coevolution of pathogen and host: I. General theory of discrete time coevolution.

Authors: J W Lewis
Journal: J Theor Biol Date: 1981-12-21 Impact factor: 2.691

3. Epidemics in competition.

Authors: I W Saunders
Journal: J Math Biol Date: 1981-03 Impact factor: 2.259

4. The evolutionary effect of endemic infectious disease: continuous models for an invariant pathogen.

Authors: J T Kemper
Journal: J Math Biol Date: 1982 Impact factor: 2.259

4 in total

14 in total

1. Heterozygote advantage fails to explain the high degree of polymorphism of the MHC.

Authors: Rob J De Boer; José A M Borghans; Michiel van Boven; Can Keşmir; Franz J Weissing
Journal: Immunogenetics Date: 2004-01-13 Impact factor: 2.846

2. MHC polymorphism under host-pathogen coevolution.

Authors: José A M Borghans; Joost B Beltman; Rob J De Boer
Journal: Immunogenetics Date: 2004-01-13 Impact factor: 2.846

3. Coexistence of pathogens in sexually-transmitted disease models.

Authors: Jia Li; Zhien Ma; Steve P Blythe; Carlos Castillo-Chavez
Journal: J Math Biol Date: 2003-08-20 Impact factor: 2.259

4. The evolutionary epidemiology of vaccination.

Authors: Sylvain Gandon; Troy Day
Journal: J R Soc Interface Date: 2007-10-22 Impact factor: 4.118

5. The complete classification for dynamics in a homosexually-transmitted disease model.

Authors: Jifa Jiang; Caichun Chai
Journal: J Math Biol Date: 2007-09-12 Impact factor: 2.259

6. Coevolution of recovery ability and virulence.

Authors: M van Baalen
Journal: Proc Biol Sci Date: 1998-02-22 Impact factor: 5.349

7. Mixed-species Plasmodium infections of Anopheles (Diptera:Culicidae)

Authors: F E McKenzie; W H Bossert
Journal: J Med Entomol Date: 1997-07 Impact factor: 2.278

8. A competitive exclusion principle for pathogen virulence.

Authors: H J Bremermann; H R Thieme
Journal: J Math Biol Date: 1989 Impact factor: 2.259

9. Competitive exclusion and coexistence of pathogens in a homosexually-transmitted disease model.

Authors: Caichun Chai; Jifa Jiang
Journal: PLoS One Date: 2011-02-15 Impact factor: 3.240

10. Persistence and global stability in a predator-prey model consisting of three prey genotypes with fertility differences.

Authors: J W So; H I Freedman
Journal: Bull Math Biol Date: 1986 Impact factor: 1.758