摘要
王龙等人提出了一个包含社团结构的发展复制方程并研究了其一致性问题.他们给出了具有两个社团结构的种群系统的完整分类并且得出了系统达到一致共存状态的充要条件.作者给出了具有3个社团结构及相等的自身作用可能性的种群系统的完整分类和一致性问题.找到了自身作用可能性的两个分支值,当自身作用可能性小于第一个分支值时,渐进系统具有与无社团结构的系统相同的动力学性质.对于鹰鸽运动和协调运动,自身作用可能性越大,系统的动力学性态就越多样.
An extended replicator equation was proposed by Wang et al.,who studied the consensns problem in this way in 2008.They presented a complete classification of the dynamics and consensus of the population system with two communities and a sufficient and necessary condition for a population system to reach a consensus of coexistent state.The present paper provides a complete classification of the dynamics and consensus of the population system with three communities and equal self-interaction probability.Two bifurcation points for self-interaction probability are found.The population system has the same evolutionary dynamics as nonstructured populations when self-interaction probability is less than the first bifurcation point.For the hawk-dove game and the coordinate game,the greater the self-interaction probability is,the more diverse the evolutionary dynamics is.
出处
《上海师范大学学报（自然科学版）》
2011年第3期221-234,共14页
Journal of Shanghai Normal University(Natural Sciences)
基金
supported by National Natural Science Foundation of China(NSFC)under Grands(11071166)
Shanghai NSF under grant(09ZR1423100)
关键词
复制方程
社团结构
一致性
完整分类
replicator equation
community structure
consensus
complete classification
