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具有Holling-Ⅲ型功能反应的捕食者-食饵扩散模型中避难所的影响
  • 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, 鲁引儿
关键词： 捕食者-食饵模型, 避难所, 扩散, 稳定性, HOPF分歧, Predator-prey model, Refuge, Diffusion, Stability, Hopf bifurcation
中文摘要：

本文在齐次Neumann边界条件下考虑食饵具有避难所的捕食者-食饵扩散模型,其功能反应函数为Holling-III型.主要讨论该系统全局吸引子的存在性和系统永久持续生存性,以及避难所对系统非负平衡点稳定性的影响.

英文摘要：

In this paper, a predator-prey model with diffusion and Holling type III response function incorporating a prey refuge under homogeneous Neumann boundary condition is considered. The existence of a global attractor and permanence for this model are discussed. Moreover, the effect of the prey refuge on the stability properties of the non-negative equilibria is investigated.

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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