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带比例功能反应函数食物链交错扩散模型的整体解
  • ISSN号：0255-7797
  • 期刊名称：《数学杂志》
  • 时间：0
  • 分类：O175.26[理学—数学;理学—基础数学]
  • 作者机构：[1]西北师范大学数学与统计学院,甘肃兰州730070
  • 相关基金：Supported by National Natural Science Foundation of China（11061031;11261053）; the Fundamental Research Funds for the Gansu University
作者： 李晓娟[1]
关键词： 比例依赖功能反应函数, 交错扩散, 整体解, 一致有界性, 稳定性, ratio-dependent functional response, cross-diffusion, global solutions, uniform boundedness, stability
中文摘要：

本文研究了带有比例功能反应函数食物链交错扩散模型整体解的存在性和正平衡点的稳定性.利用能量方法和Gagliardo-Nirenberg型不等式,获得了该模型整体解的存在性和一致有界性,同时通过构造Lyapunov函数给出了该模型正平衡点全局渐近稳定的充分条件.

英文摘要：

In this paper,a food chain model with ratio-dependent functional response is investigated under homogeneous Neumann boundary conditions.Using the energy estimate and Gagliardo-Nirenberg-type inequalities,the existence and the uniform boundedness of global solutions are proved.Meanwhile,the sufficient condition for global asymptotic stability of the positive equilibrium point for the model is given by constructing the Lyapunov function.

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期刊信息
  • 《数学杂志》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:武汉大学 湖北省数学学会 武汉数学学会
  • 主编：陈化
  • 地址：湖北武汉大学
  • 邮编：430072
  • 邮箱：jmath@whu.edu.cn
  • 电话：027-68754687
  • 国际标准刊号：ISSN：0255-7797
  • 国内统一刊号：ISSN：42-1163/O1
  • 邮发代号:38-71
  • 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:3910