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一类捕食者-食饵模型中扩散的作用
  • 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：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）
作者： 张丽娜, 张晓杰
关键词： Leslie-Gower捕食者-食饵模型, 交错扩散, 稳定性, Leslie-Gower predator-prey model, Cross-diffusion, Stability
中文摘要：

本文讨论捕食者带有交错扩散的修正的Leslie-Gower捕食者-食饵模型中各扩散系数的作用.得到的结果表明,交错扩散会导致模型唯一的正常数平衡点失稳.而食饵物种的自扩散则具有抑制失稳发生的作用.

英文摘要：

In this paper, the effects of diffusions in a modified Leslie-Gower predator-prey model with cross-diffusion are studied. It is shown that cross-diffusion can induce instability of the unique positive equilibrium in this model. While, the diffusion of prey species has a role on inhibiting instability.

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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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  • 被引量:4139