Literature DB >> 1022833

Competition between phenotypes.

S Rocklin, G Oster.   

Abstract

We present two models for phenotypic-dependent interspecific competition. In both cases the survivorship of individuals of one population depends on the entire phenotypic distribution of the other species. The first model considers a continuously varying metric trait, with assortative or random mating; the second model examines a character controlled by two alleles at a single locus. Pursuing the notion that each population maximizes its mean fitness we define a vector-optimum strategy using the concepts of cooperative and competitive optima. It is found that the dynamical constraints placed on the equations of motion by Mendelian genetics often prevent a population from evolving to a strategic optimum. However, for the single locus case with complete dominance, the competitive optimum always coincides with some dynamical equilibrium on the Hardy-Weinberg manifold.

Mesh:

Year:  1976        PMID: 1022833     DOI: 10.1007/BF00275058

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


  12 in total

1.  Evolution and the theory of games.

Authors:  R C LEWONTIN
Journal:  J Theor Biol       Date:  1961-07       Impact factor: 2.691

2.  Optimization in Ecology: Natural selection produces optimal results unless constrained by history or by competing goals.

Authors:  M L Cody
Journal:  Science       Date:  1974-03-22       Impact factor: 47.728

3.  THE OPERATION OF SELECTION IN SITUATIONS OF INTERSPECIFIC COMPETITION.

Authors:  Bruce R Levin
Journal:  Evolution       Date:  1971-06       Impact factor: 3.694

4.  Biological populations with nonoverlapping generations: stable points, stable cycles, and chaos.

Authors:  R M May
Journal:  Science       Date:  1974-11-15       Impact factor: 47.728

5.  An optimal strategy of evolution.

Authors:  L B Slobodkin; A Rapoport
Journal:  Q Rev Biol       Date:  1974-09       Impact factor: 4.875

6.  Continuous selective models.

Authors:  T Nagylaki; J F Crow
Journal:  Theor Popul Biol       Date:  1974-04       Impact factor: 1.570

7.  Evolution of dimorphism in a predator-prey model.

Authors:  F M Stewart
Journal:  Theor Popul Biol       Date:  1971-12       Impact factor: 1.570

8.  Population regulation and genetic feedback. Evolution provides foundation for control of herbivore, parasite, and predator numbers in nature.

Authors:  D Pimentel
Journal:  Science       Date:  1968-03-29       Impact factor: 47.728

9.  Selection and polygenic characters.

Authors:  M Slatkin
Journal:  Proc Natl Acad Sci U S A       Date:  1970-05       Impact factor: 11.205

10.  Mathematical models for cellular systems. The Von Foerster equation. II.

Authors:  E Trucco
Journal:  Bull Math Biophys       Date:  1965-12
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  2 in total

1.  Optimal strategies in immunology. I. B-cell differentiation and proliferation.

Authors:  A S Perelson; M Mirmirani; G F Oster
Journal:  J Math Biol       Date:  1976-11-25       Impact factor: 2.259

2.  Models of the influence of predation on aspect diversity in prey populations.

Authors:  S A Levin; L A Segel
Journal:  J Math Biol       Date:  1982       Impact factor: 2.259

  2 in total

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