一类具功能反应和脉冲扰动的种群生物系统动力学分析

一类具功能反应和脉冲扰动的种群生物系统动力学分析

何德材, 黄文韬

桂林电子科技大学计算科学与数学学院, 广西桂林 541005

收稿日期:2007-10-15 修回日期:1900-01-01 出版日期:2008-07-26 发布日期:2008-07-26
通讯作者: 黄文韬

Dynamics Analysis of a Population Biological System with Functional Response and Impulsive Perturbations

HE Decai, HUANG Wentao

Department of Computing Science and Mathematics, Guilin University of Electronic Technology, Guilin 541005, Guangxi Zhuang Autonomous Region, China

Received:2007-10-15 Revised:1900-01-01 Online:2008-07-26 Published:2008-07-26
Contact: HUANG Wentao

摘要/Abstract

摘要： 利用脉冲微分方程建立一类在两个不同固定时刻分别收获与放养的具有Holling Ⅳ类功能反应和相互干扰的捕食者食饵脉冲动力系统, 并由脉冲微分方程的Floquet理论和比较定理, 得到了系统灭绝和持续生存的充分条件.

关键词: 脉冲扰动, 功能反应, 持续生存, 相互干扰

Abstract: A class of nonautonomous mutual interference system with Holling Ⅳ functional response and impulsive harvesting (stocking) is suggested, and sufficient conditions for the extinction and permanence of the system are obtained by using the Floquet theory of impulsive equation and comparison theorem.

Key words: impulsive perturbation, functional respose, permanent existence, mutual interference

中图分类号:

O175.12

何德材, 黄文韬. 一类具功能反应和脉冲扰动的种群生物系统动力学分析[J]. J4, 2008, 46(04): 607-612.

HE Decai, HUANG Wentao. Dynamics Analysis of a Population Biological System with Functional Response and Impulsive Perturbations[J]. J4, 2008, 46(04): 607-612.

[1]	姜玉秋, 魏凤英. 具HollingⅡ类功能反应及捕获的三种群L-V系统多[J]. J4, 2011, 49(02): 195-202.
[2]	许生虎, 李相锋. 带Beddington-DeAngelis功能反应项的捕食者-食饵模型整体解的存在性和稳定性[J]. J4, 2010, 48(03): 375-383.