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时滞在具有Ivlev型功能反应函数的捕食者-食饵扩散系统中的作用
  • ISSN号：1003-3998
  • 期刊名称：数学物理学报
  • 时间：2014.4.15
  • 页码：234-250
  • 分类：O193[理学—数学;理学—基础数学]
  • 作者机构：[1]哈尔滨工业大学理学院数学系 ,哈尔滨150001
  • 相关基金：国家自然科学基金（11031002,11201096）和教育部高校博士点基金（20122302110044）资助
  • 相关项目：时滞反应扩散方程中的分支与空间非均匀解
作者： 王雪臣|魏俊杰|
关键词： 捕食者-食饵, 时滞, Ivlev型功能反应项, Hopf分支, 周期解, Prey-predator, Delay, Ivlev-type functional response, Hopf bifurcation, Periodicsolutions.
中文摘要：

该文研究了时滞对一个带Neumann边值的捕食者-食饵的反应扩散系统的影响.通过对特征根的分析,讨论了非负平衡解的稳定性和Hopf分支的存在性.应用规范型方法和中心流形理论,文章讨论了Hopf分支周期解的稳定性和分支方向.

英文摘要：

A delayed diffusive predator-prey system with Ivlev-type predator functional re- sponse subject to Neumann boundary conditions is considered. The stability of nonnegative equilibria and existence of Hopf bifurcation are obtained by analyzing the distribution of the eigenvalues. By the theory of normal form and center manifold, an explicit algorithm for de- termining the stability and direction of periodic solution bifurcating from Hopf bifurcation is derived.

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时滞反应扩散方程中的分支与空间非均匀解
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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