| 一类食饵具有自私和无私两种行为的捕食者-食饵模型 |
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| 引用本文： | 王小利,王稳地,王战伟. 一类食饵具有自私和无私两种行为的捕食者-食饵模型[J]. 西南大学学报(自然科学版), 2007, 29(6): 22-27 |
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| 作者姓名： | 王小利 王稳地 王战伟 |
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| 作者单位： | 西南大学数学与统计学院,重庆400715 |
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| 基金项目： | 国家自然科学基金资助项目（10571143）. |
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| 摘 要： | 分析了食饵具有自私和无私两种行为的自治捕食者-食饵模型.证明了在适当条件下稳定极限环的存在性及物种的持久性.
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| 关 键 词： | 捕食者-食饵模型 稳定性 极限环 持久性 |
| 文章编号： | 1673-9868（2007）06-0022-06 |
| 修稿时间： | 2006-05-08 |
A Prey-Predator System with Altruistic and Selfish Behavior of the Prey |
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| WANG Xiao-li, WANG Wen-di, WANG Zhan-wei. A Prey-Predator System with Altruistic and Selfish Behavior of the Prey[J]. Journal of southwest university (Natural science edition), 2007, 29(6): 22-27 |
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| Authors: | WANG Xiao-li WANG Wen-di WANG Zhan-wei |
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| Affiliation: | School of Mathematics and Statistics, Southwest University, Chongqing 400715, China |
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| Abstract: | In this paper,we study an autonomous predator-prey system in which individuals in the prey population are divided into two classes:altruistic and selfish.It is shown that there exists a stable limit cycle under some appropriate conditions.Further,conditions are derived for the permanence of the species. |
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| Keywords: | prey-predator model stability limit cycle permanence |
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