Effects of migration on the evolutionary game dynamics in finite populations with community structures

We investigate the impacts of migration oil the evolutionary game dynamics In finite Populations With Community structures in the framework of evolutionary game theory. In contrast to deterministic dynamics, our model incorporates stochastic factors induced by the finite population size Based on the analysis of the stationary distribution of the evolutionary process in the limit of rare mutations, we prove that it is most likely to find the Population In the Community where all individuals have the lower migration rate. Furthermore. we show that reducing file difference between the migration rates of distinct communities can increase the first hitting time to the homogeneous absorbing state and call prolong the coexistence time of different species, promoting the conservation of biodiversity (C) 2009 Elsevier B.V. All rights reserved.