کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
974514 | 932984 | 2010 | 12 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Effects of migration on the evolutionary game dynamics in finite populations with community structures Effects of migration on the evolutionary game dynamics in finite populations with community structures](/preview/png/974514.png)
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.
Journal: Physica A: Statistical Mechanics and its Applications - Volume 389, Issue 1, 1 January 2010, Pages 67–78