食饵具有阶段结构的捕食-食饵系统的动力学行为

数学季刊 ›› 2007, Vol. 22 ›› Issue (1): 29-37.

食饵具有阶段结构的捕食-食饵系统的动力学行为

1.School of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,China; 2.College of Mathematics and Information Science,Henan University,Kaifeng 475001,China;Institute of Applied Mathematics,Henan University,Kaifeng 475001,China)

收稿日期:2006-10-10 出版日期:2007-03-30 发布日期:2023-11-10
作者简介:ZHANG Jia-fang(1981-),male,native of Kaifeng,Henan,M.S.D.,engages in functional differ- ential equations theory and its application.

Dynamic Behavior of a Predator-prey System with Stage-structure for Prey

1.School of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,China; 2.College of Mathematics and Information Science,Henan University,Kaifeng 475001,China;Institute of Applied Mathematics,Henan University,Kaifeng 475001,China)

Received:2006-10-10 Online:2007-03-30 Published:2023-11-10
About author:ZHANG Jia-fang(1981-),male,native of Kaifeng,Henan,M.S.D.,engages in functional differ- ential equations theory and its application.

摘要/Abstract

摘要： In this paper,we considered the predator-prey system with stage-structure for prey,where the predators predate immature preys only.The positivity and boundedness of the solutions and asymptotic stability of equilibrium were firstly discussed,and then uniformly persistent sufficient conditions of populations were found.

关键词: stage-structure;global , asymptotic , stability;predator-prey;Lyapunov , func- tions;uniform persistence

Abstract: In this paper,we considered the predator-prey system with stage-structure for prey,where the predators predate immature preys only.The positivity and boundedness of the solutions and asymptotic stability of equilibrium were firstly discussed,and then uniformly persistent sufficient conditions of populations were found.

Key words: stage-structure;global , asymptotic , stability;predator-prey;Lyapunov , func- tions;uniform persistence

中图分类号:

O193

张嘉防, 张志平. 食饵具有阶段结构的捕食-食饵系统的动力学行为[J]. 数学季刊, 2007, 22(1): 29-37.

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