一类食饵具有自私和无私两种行为的捕食者-食饵模型(英文)  

A Prey-Predator System with Altruistic and Selfish Behavior of the Prey

作　　者：王小利[1] 王稳地[1] 王战伟[1] 

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南大学学报（自然科学版）》2007年第6期22-27,共6页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10571143).

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.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.

关 键 词：捕食者-食饵模型 稳定性 极限环 持久性 

分 类 号：O175.14[理学—数学] Q141[理学—基础数学]