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Criticisms of the Evolutionary Perspective

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Published on: December 16, 2010

Evolutionary game dynamics with impulsive effects.

Shichang Wang1, Boyu Zhang, Zhenqing Li

  • 1Key State Laboratory of Vegetation and Environmental Change, Institute of Botany, Chinese Academy of Sciences, Beijing, China.

Journal of Theoretical Biology
|July 4, 2008
PubMed
Summary
This summary is machine-generated.

Impulsive perturbations can cause periodic behavior in population dynamics. These environmental or physiological changes may lead to non-ESS strategies replacing traditional evolutionary stable strategies.

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Area of Science:

  • Evolutionary game theory
  • Population dynamics
  • Mathematical biology

Background:

  • Impulsive perturbations, such as climate disasters or seasonal reproduction, cause sudden population size changes.
  • Evolutionary game dynamics models traditional strategies and their stability.

Purpose of the Study:

  • To investigate the impact of impulsive perturbations on a two-phenotype evolutionary game.
  • To analyze how these perturbations alter evolutionary game dynamics and strategy stability.

Main Methods:

  • Modeling a two-phenotype evolutionary game with impulsive effects.
  • Analyzing the dynamics under periodic and non-periodic perturbations.

Main Results:

  • Impulsive perturbations can induce periodic behavior in population dynamics.
  • Non-ESS strategies can emerge and successfully replace traditional Evolutionary Stable Strategies (ESS).

Conclusions:

  • Impulsive perturbations significantly alter evolutionary game dynamics.
  • The concept of ESS may not fully capture strategy stability in the presence of such perturbations.