Environmental Noise Could Promote Stochastic Local Stability of Behavioral Diversity Evolution

Xiu-Deng Zheng, Cong Li, Sabin Lessard, and Yi Tao
Phys. Rev. Lett. 120, 218101 – Published 22 May 2018
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Abstract

In this Letter, we investigate stochastic stability in a two-phenotype evolutionary game model for an infinite, well-mixed population undergoing discrete, nonoverlapping generations. We assume that the fitness of a phenotype is an exponential function of its expected payoff following random pairwise interactions whose outcomes randomly fluctuate with time. We show that the stochastic local stability of a constant interior equilibrium can be promoted by the random environmental noise even if the system may display a complicated nonlinear dynamics. This result provides a new perspective for a better understanding of how environmental fluctuations may contribute to the evolution of behavioral diversity.

  • Figure
  • Received 5 December 2017

DOI:https://doi.org/10.1103/PhysRevLett.120.218101

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Physics of Living Systems

Authors & Affiliations

Xiu-Deng Zheng1, Cong Li2, Sabin Lessard2,*, and Yi Tao1,3,†

  • 1Key Laboratory of Animal Ecology and Conservation Biology, Centre for Computational and Evolutionary Biology, Institute of Zoology, Chinese Academy of Sciences, Beijing 100101, China
  • 2Department of Mathematics and Statistics, University of Montreal, Montreal QC H3C 3J7, Canada
  • 3University of Chinese Academy of Sciences, Beijing 100101, China

  • *Corresponding author. lessards@dms.umontreal.ca
  • Corresponding author. yitao@ioz.ac.cn

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Vol. 120, Iss. 21 — 25 May 2018

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