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

Jing Wang, Xiaojie Chen and Long Wang

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 1, 67-78

Abstract: We investigate the impacts of migration on 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 the difference between the migration rates of distinct communities can increase the first hitting time to the homogeneous absorbing state and can prolong the coexistence time of different species, promoting the conservation of biodiversity.

Keywords: Migration; Biodiversity; Finite populations; Evolutionary game theory (search for similar items in EconPapers)
Date: 2010
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:1:p:67-78

DOI: 10.1016/j.physa.2009.09.003

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