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具有阶段结构和Leslie-Gower HollingⅡ功能性反应的脉冲食饵-捕食系统(英文)
  • ISSN号：1001-9626
  • 期刊名称：《生物数学学报》
  • 时间：0
  • 分类：O175[理学—数学;理学—基础数学]
  • 作者机构：[1]信阳师范学院数学与信息科学学院
  • 相关基金：This Work is Supported by the National Natural Science Foundation of China (No.10771179);; the Henan Innovation Project for University Prominent Research Talents(No.2005KYCX017);; the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry
作者： 江晓武[1], 余敏[1], 宋新宇[1]
关键词： 食饵-捕食模型, 脉冲扰动, 永久持续生存, 阶段结构, Predator-prey models, Impulse perturbation, Permanence, Stage structure
中文摘要：

我们考虑了一个具有阶段结构和Leslie-Gower HollingⅡ功能性反应的时滞脉冲食饵-捕食系统.运用脉冲微分方程的比较定理和小扰动的方法,我们得到了保证系统食饵灭绝周期解的全局渐近稳定性和系统永久持续生存的条件.

英文摘要：

In this paper,we consider a stage-structured and modified Leslie-Gower HollingⅡtype schemes predator-prey model with time delay and impulsive harvesting on predator.By using the comparison theory of impulsive equation and small pertur- bation method,we obtain some corresponding threshold conditions which guarantee the globally asymptotical stability of prey-extinction periodic solution and the permanence of this system.

同期刊论文项目
状态脉冲及脉冲微分方程边值问题研究与应用
期刊论文 109 会议论文 3
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期刊信息
  • 《生物数学学报》
  • 北大核心期刊（2008版）
  • 主管单位:中国数学会
  • 主办单位:中国数学会生物数学学会
  • 主编：陈兰荪
  • 地址：辽宁省鞍山师范学院158号
  • 邮编：114007
  • 邮箱：smbjbm@tom.com
  • 电话：0412-2960893
  • 国际标准刊号：ISSN：1001-9626
  • 国内统一刊号：ISSN：34-1071/O1
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）
  • 被引量:5686