食饵庇护环境下两捕食者系统的持久性  

Permanence of Two Predators System Incorporating a Prey Refuge

作　　者：杜斌[1] 黄灿云[1] 罗秀玲[1] 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《甘肃科学学报》2010年第1期29-34,共6页Journal of Gansu Sciences

基　　金：甘肃省自然科学基金项目(3ZS062-B25-019);兰州理工大学博士基金项目(BS10200903)

摘　　要：研究了具有食饵庇护的3种群食饵—捕食系统的持久性,利用微分系统比较原理,得到该系统持久的充分条件.得出了虽然食饵庇护对系统的持久性没有本质影响,但有利于系统稳定的结论,最后用数值模拟验证了所得结果的可靠性.A kind of two predators model incorporating a prey refuge is investigated. Based on the comparison theorem, we derive some sufficient conditions for permanence of the system and show that prey refuge has no influence on the persistent property of the system, but the refuge is in favor of the stability for the system. Finally, numerical simulations are presented to illustrate our main results.

关 键 词：非自治 持久性 庇护 时滞 

分 类 号：O175.13[理学—数学]