| 具有部分自我选择和非线性相关频率选择值的基因模型 |
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| 引用本文： | 蒋莹莹,王稳地,段会玲.具有部分自我选择和非线性相关频率选择值的基因模型[J].西南师范大学学报(自然科学版),2005,30(5):814-820. |
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| 作者姓名： | 蒋莹莹 王稳地 段会玲 |
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| 作者单位： | 西南大学,数学与财经学院,重庆,400715 |
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| 基金项目： | 国家自然科学基金资助项目（10271096）. |
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| 摘 要： | 研究了一类具有部分自我选择和非线性相关频率选择值的基因模型．建立了表现型平衡点和遗传型平衡点的稳定条件，并讨论了两类平衡点的稳定性和进化稳定策略（ESS）之间的关系．表明了在一定条件下．稳定的多态的表现型平衡点并非ESS．
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| 关 键 词： | 基因模型 策略 期望支付 部分自我选择 表现型平衡点 遗传型平衡点 |
| 文章编号： | 1000-5471（2005）05-0814-07 |
| 收稿时间： | 2005-03-09 |
| 修稿时间： | 2005年3月9日 |
Nonlinear Frequency-Dependent Selection with Partial Selfing |
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| JIANG Ying-ying,WANG Wen-di,DUAN Hui-ling.Nonlinear Frequency-Dependent Selection with Partial Selfing[J].Journal of Southwest China Normal University(Natural Science),2005,30(5):814-820. |
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| Authors: | JIANG Ying-ying WANG Wen-di DUAN Hui-ling |
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| Institution: | School of Mathematics and Finance, Southwest University, Chongqing 400715, China |
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| Abstract: | This paper studies a genetic model where genotypic fitness is an exponential function of the expected payoff in the matrix game under partial selfing selection. The authors establish the conditions for the stability of phenotypic and genotypic equilibria and present the relation between the stability of phenotypic equilibria and ESS. In particular, it is proved that a stable polymorphic phenotypic equilibrium isn't an ESS under some condition. |
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| Keywords: | genetic model strategy expected payoff partial selling selection phenotypic equilibrium genotypic equilibrium |
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