捕食者具有阶段结构和基于比率的捕食系统的正周期解  

Positive Periodic Solution in a Ratio-Based Predator-Prey System with Stage Structure for Predator

作　　者：赵明[1] 程荣福[1] 

机构地区：[1]北华大学数学学院,吉林吉林132021

出　　处：《生物数学学报》2010年第1期88-96,共9页Journal of Biomathematics

基　　金：北华大学科研基金(编号2007014)

摘　　要：利用重合度理论中的延拓定理,讨论了捕食者具有阶段结构和比率型功能性反应的捕食模型的正周期解的存在性,得到了保证周期解存在的充分条件,推广了已知的相关结果.In this paper, the existence of positive periodic solution of a predator-prey model with stage structure for predator and ratio functional response is studied by using Prolongation Theorem of Coincidence Degree Theory. A set of sufficient conditions which guarantee the existence of periodic solution are obtained, which improve some known relevant results.

关 键 词：捕食者-食饵系统 比率型功能性反应 时滞 阶段结构 重合度 周期解 

分 类 号：O175.14[理学—数学]