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捕食者具有年龄结构和时滞的Lotka—volterra模型的持续生存
  • ISSN号：0254-3079
  • 期刊名称：《应用数学学报》
  • 时间：0
  • 分类：O175[理学—数学;理学—基础数学]
  • 作者机构：[1]湖北民族学院理学院,湖北恩施445000
  • 相关基金：国家自然科学基金项目（10771179）;湖北省自然科学基金项目（2008CDB075）;湖北省优秀中青年项目（Q20082900）;湖北省优秀团队项目（T200804）.
作者： 向中义[1]
关键词： Lotka—volterra模型, 阶段结构, 脉冲, 持续生存, Lotka - volterra model, stage structure , impulsive, permanence
中文摘要：

考虑一个具有脉冲效应和时滞阶段结构的Lotks-voltem模型，捕食者具有年龄结构．分析证明了模型的所有解都是一致最终有界的，并且得到了模型持续生存的充分条件．结果显示脉冲效应在系统的持续生存上扮演了重要角色，这些结果为生态资源的控制提供了一个可靠而有效的策略．

英文摘要：

In this paper, we consider a Lotka - volterra model with impulsive effects on the prey and stage structure on the predator. We prove that all solutions of the system are uniformly ultimately bounded and sufficient conditions of the permanence of the system are obtained. These results show that the behavior of impulsive effects on the prey plays an important role for the permanence of the system. These results provide a reliable tactical basis for the management of biological resources.

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状态脉冲及脉冲微分方程边值问题研究与应用
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期刊信息
  • 《应用数学学报》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国数学会 中国科学院数学与系统科学研究院
  • 主编：丁夏畦
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100190
  • 邮箱：
  • 电话：
  • 国际标准刊号：ISSN：0254-3079
  • 国内统一刊号：ISSN：11-2040/O1
  • 邮发代号:2-822
  • 获奖情况:
  • 1996、2000年获“中科院优秀科技期刊”三等奖,1997年获“第二届全国优秀科技期刊”三等奖,2001年入选“双效期刊”（中国期刊方阵）
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,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,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:6864