周期捕食-食饵模型的持续生存和正周期解  

Permanence and positive periodic solution of a periodic predator-prey model

作　　者：霍海峰 张良[1] 苗黎明[1] 

机构地区：[1]兰州理工大学应用数学研究所,甘肃兰州730050

出　　处：《兰州理工大学学报》2007年第5期132-135,共4页Journal of Lanzhou University of Technology

基　　金：甘肃省自然科学基金(3ZS042-B25-013);甘肃省教育厅基金(0416B-08)

摘　　要：利用比较定理和重合度理论的连续延拓引理研究带有Leslie-Gower和Holling-TypeⅡ方案的周期捕食-食饵模型,得到该模型易于验证的持续生存和存在正周期解的充分条件.By employing the comparison theorem and continuation prolongation lemma in coincidence degree theory, the periodic predator-prey model with Leslie-Gower and Holling-Type Ⅱ schemes was investigated, and the sufficient conditions of sustained existence of predator prey model and the existence of its positive periodic solution were obtained.

关 键 词：捕食-食饵模型 持续生存 正周期解 

分 类 号：O175.1[理学—数学]