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对带有非局部时滞和扩散的捕食者-食饵系统的稳定性分析
  • ISSN号：1003-3998
  • 期刊名称：《数学物理学报：A辑》
  • 时间：0
  • 分类：O175.26[理学—数学;理学—基础数学]
  • 作者机构：[1]四川师范大学数学与软件学院,成都610066, [2]重庆大学数学与统计学院,重庆400044, [3]西南大学数学与统计学院,重庆400715
  • 相关基金：国家自然科学基金（11126141,11001189,11071266）、重庆市自然科学基金（2010BB9218）、西南大学博士基金（SWU111021）和西南大学教育教学改革研究项目（2010JY053）资助
作者： 李玉环[1], 周军[2,3], 穆春来[2]
关键词： 非局部时滞反应扩散方程, 全局稳定性, 上下解, Nonlocal delayed reaction-diffusion equations, Global stability, Upper and lower solutions.
中文摘要：

在齐次Neumann条件下考虑一类由于捕食方式引起的一类具有非局部时滞和扩散的捕食者-食饵系统．通过使用线性化方法和上下解方法，作者研究了该系统的常数平衡态的局部稳定性和全局稳定性．

英文摘要：

In this paper, we consider a nonlocal delayed reaction-diffusion equation due to the gestation of the predator and homogeneous Neumann boundary conditions. By using the linearization method and the method of upper and lower solutions, we study the local and global stability of the constant equilibrium, respectively.

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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