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修正的Leslie—Gower捕食者-食饵扩散模型正平衡点的全局渐近稳定
  • ISSN号：1001-9847
  • 期刊名称：《应用数学》
  • 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：国家自然科学基金（11061031）,西北师范大学青年教师科研能力提升计划资助（NWNU-LKQM11-21）
作者： 张丽娜[1], 李月霞[1]
关键词： Leslie—Gower捕食者-食饵模型, 全局渐近稳定, Lyapunov方法, 迭代方法, Leslie-Gower predator-prey model, Global asymptotic stability, Lyapunovmethod , Iteration method
中文摘要：

本文讨论一类带有齐次Neumann边界条件的修正的Leslie—Gower捕食者一食饵扩散模型．首先用Lyapunov方法得到正平衡点全局渐近稳定的一个充分条件，然后用迭代方法将所得条件进行改进．

英文摘要：

In this paper,a modified Leslie-Gower predator-prey model with diffusion and homogeneous Neumann boundary condition is studied. For the global asymptotic stability of the unique positive equilibrium,a sufficient condition is obtained first by the Lyapunov method,and then it is improved by the iteration method.

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期刊信息
  • 《应用数学》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华中科技大学
  • 主编：李大潜
  • 地址：武汉珞喻路1037号华中科技大学逸夫科技大楼南楼902室
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  • 电话：027-87543831
  • 国际标准刊号：ISSN：1001-9847
  • 国内统一刊号：ISSN：42-1184/O1
  • 邮发代号:38-61
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  • 国内外数据库收录:
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  • 被引量:4139