Key Laboratory of Animal Ecology and Conservation Biology, Centre for Computational and Evolutionary Biology, Institute of Zoology, Chinese Academy of Sciences, Beijing 100101, China.
Department of Mathematics and Statistics, University of Montreal, Montreal QC H3C 3J7, Canada.
Phys Rev Lett. 2018 May 25;120(21):218101. doi: 10.1103/PhysRevLett.120.218101.
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.
在这封信件中，我们研究了一个经历离散、非重叠世代的无限、均匀混合种群的两基因型进化博弈模型中的随机稳定性。我们假设，一个表型的适合度是其在随机成对相互作用后预期收益的指数函数，而其结果随时间随机波动。我们表明，即使系统可能表现出复杂的非线性动力学，随机环境噪声也可以促进常数内部平衡点的随机局部稳定性。这个结果为更好地理解环境波动如何有助于行为多样性的进化提供了一个新的视角。
