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一类具有收获率和扩散的时滞阶段结构捕食系统的多重正周期解
  • ISSN号：1003-3998
  • 期刊名称：《数学物理学报：A辑》
  • 时间：0
  • 分类：O175.14[理学—数学;理学—基础数学]
  • 作者机构：[1]四川大学数学学院,成都610064, [2]广西柳州师范高等专科学校数学与计算机科学系,广西柳州545004
  • 相关基金：国家自然科学基金（10671133）资助
作者： 秦发金[1,2]
关键词： 收获率, 单调功能反应, 扩散, 阶段结构捕食系统, 正周期解, 重合度., Harvesting rate, Monotonic functional response, Diffusion, Stage-structure predatorprey system, Positive periodic solution, Coincidence degree.
中文摘要：

该文研究了一类具有收获率和扩散的时滞阶段结构捕食系统周期解存在性问题,利用重合度理论中的延拓定理,通过一些分析技巧, 获得了该系统至少存在四个正周期解的充分条件.

英文摘要：

In this paper, the author studies the existence of periodic solutions for a delayed stage-structure predator-prey system with harvesting rate and diffusion. By developing some technique of analysis and using continuation theorem based on coincidence degree, some sufficient conditions are derived, under which this system has at least four positive periodic solutions.

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期刊信息
  • 《数学物理学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院武汉物理与数学研究所
  • 主编：李邦河 陈贵强 朱熹平
  • 地址：湖北省武汉市武昌小洪山西路30号武汉71010信箱
  • 邮编：430071
  • 邮箱：actams@wipm.ac.cn
  • 电话：027-87199206
  • 国际标准刊号：ISSN：1003-3998
  • 国内统一刊号：ISSN：42-1226/O
  • 邮发代号:38-214
  • 获奖情况:
  • 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:5382