一类食饵具有自私和无私两种行为的捕食者-食饵模型

西南大学学报（自然科学版）

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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).

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).

A Prey-Predator System with Altruistic and Selfish Behavior of the Prey[J]. Journal of Southwest University Natural Science Edition, 2007, 29(6).

Citation:

A Prey-Predator System with Altruistic and Selfish Behavior of the Prey[J]. Journal of Southwest University Natural Science Edition, 2007, 29(6).

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.
- 捕食者-食饵模型,稳定性,极限环,持久性
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.