Literature DB >> 6707538

The effect of epidemics on genetic evolution.

K Beck, J P Keener, P Ricciardi.   

Abstract

Mathematical models of a vector-borne infectious disease acting on a host population consisting of three genotypes which differ in susceptibility to, recovery from, and death due to the disease are presented and analyzed. Singular perturbation techniques are used to obtain a single differential equation describing the slow time evolution of gene frequencies.

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Year:  1984        PMID: 6707538     DOI: 10.1007/bf00275932

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


  4 in total

1.  Protection afforded by sickle-cell trait against subtertian malareal infection.

Authors:  A C ALLISON
Journal:  Br Med J       Date:  1954-02-06

Review 2.  Sex and polymorphism as strategies in host-pathogen interactions.

Authors:  H J Bremermann
Journal:  J Theor Biol       Date:  1980-12-21       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
  4 in total

1.  Estimating the reproductive numbers for the 2008-2009 cholera outbreaks in Zimbabwe.

Authors:  Zindoga Mukandavire; Shu Liao; Jin Wang; Holly Gaff; David L Smith; J Glenn Morris
Journal:  Proc Natl Acad Sci U S A       Date:  2011-04-25       Impact factor: 11.205

2.  Evolution of host resistance to parasite infection in the snail-schistosome-human system.

Authors:  Yiding Yang; Zhilan Feng; Dashun Xu; Gregory J Sandland; Dennis J Minchella
Journal:  J Math Biol       Date:  2011-07-20       Impact factor: 2.259

3.  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

4.  Coevolution: mathematical analysis of host-parasite interactions.

Authors:  K Beck
Journal:  J Math Biol       Date:  1984       Impact factor: 2.259

  4 in total

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