| 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及其一致性问题 |
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| 引用本文： | 罗继琴, 蒋继发.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及其一致性问题[J].上海师范大学学报(自然科学版),2011,40(3):221-234. |
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| 作者姓名： | 罗继琴 蒋继发 |
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| 作者单位： | 上海师范大学数理学院,上海,200234 |
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| 基金项目： | supported by National Natural Science Foundation of China(NSFC)under Grands(11071166); Shanghai NSF under grant(09ZR1423100) |
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| 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.
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| 关 键 词： | 复制方程 社团结构 一致性 完整分类 |
A complete classification of the dynamics and consensus of a population system with three communities and equal self-interaction probability |
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| LUO Ji-qin,JIANG Ji-fa.A complete classification of the dynamics and consensus of a population system with three communities and equal self-interaction probability[J].Journal of Shanghai Normal University(Natural Sciences),2011,40(3):221-234. |
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| Authors: | LUO Ji-qin JIANG Ji-fa |
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| Institution: | LUO Ji-qin,JIANG Ji-fa(College of Mathematics and Sciences,Shanghai Normal University,Shanghai 200234,China) |
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| Abstract: | 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 b... |
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| Keywords: | replicator equation community structure consensus complete classification |
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