Continuous Probabilistic Analysis to Evolutionary Game Dynamics in Finite Populations

被引：0
作者：
Gao, Meng [1 ,2 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Inst Biomath, Lanzhou 730000, Peoples R China
[2] Chinese Acad Sci, Yantai Inst Coastal Zone Res Sustainable Dev, Yantai 264003, Peoples R China
来源：
BULLETIN OF MATHEMATICAL BIOLOGY | 2009年 / 71卷 / 05期
关键词：
Evolutionary game; Mutation; Equilibrium probability density; Extinction; Fixation; STABLE STRATEGIES; PUBLIC-GOODS; COOPERATION; TEMPERATURE; SELECTION;
D O I：
10.1007/s11538-009-9397-7
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Evolutionary game dynamics of two strategies in finite population is studied by continuous probabilistic approach. Besides frequency dependent selection, mutation was also included in this study. The equilibrium probability density functions of abundance, expected time to extinction or fixation were derived and their numerical solutions are calculated as illustrations. Meanwhile, individual-based computer simulations are also done. A comparison reveals the consistency between theoretical analysis and simulations.
引用
收藏
页码：1148 / 1159
页数：12
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