学术
一类带有功能性反应和脉冲效应的捕食系统的动力学性质
郭红建[1,2] 宋新宇[2]
[1]大连理工大学应用数学系,辽宁大连116024 [2]信阳师范学院数学与信息科学学院,河南信阳464000
摘 要:
本文讨论了一类带有HollingⅡ类功能性反应和脉冲投放的一食饵两捕食者系统．运用Floquet和小振幅扰动理论，证明了当投放周期小于某个临界值时，系统食饵绝灭的周期解是全局渐近稳定的，同时研究了系统的持续生存。[著者文摘]
文章出处:
《应用数学》-2006年19卷4期 -724-730页
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2006）04-0724-07
Dynamic Behaviors of a Kind of Predator-prey Systems with Functional Response and Impulsive Effect
GUO Hong-jian,SONG Xin-yu（1. Department of Applied Mathematics ,Dalian University of Technology, Dalian 116024, China ; 2. College of Mathematics and Information Science, Xinyang Normal University, Xinyang 464000, China）
Abstract:
A kind of one-prey two-predator systems with Holling type Ⅱ functional response and impulsive release is presented in this paper. By applying the Floquet theory and small amplitude per- turbation skills,it is proved that the prey-free periodic solution of the system is globally asymptotically stable when the release period is less than certain critical value. Furthermore, permanence of the system is investigated.[著者文摘]
Key words:
Predator-prey systems; Impulsive effect ; Permanence; Extinction
基金资助:
Supported by the National Natural Science Foundation of China （10471117）, the Henan Innovation Project for University Prominent Research Talents （2005KYCX017） and the Scientific Research Foundation for the Retur, ned 0verseas Chinese Scholars,State Eduction Ministry
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