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一类具有阶段结构和时滞的捕食者-食饵模型分析
  • ISSN号：1003-0972
  • 期刊名称：《信阳师范学院学报：自然科学版》
  • 时间：0
  • 分类：O175.1[理学—数学;理学—基础数学]
  • 作者机构：[1]信阳师范学院数学与信息科学学院,河南信阳464000
  • 相关基金：National Natural Science Foundation of China（10771179）
作者： 杨金根[1], 周学勇[1], 师向云[1]
关键词： 阶段结构, 捕食食饵模型, 时滞, Hopf分支, stage structure, predator-prey model, delay, Hopf bifurcation
中文摘要：

研究一类具有时滞和阶段结构的捕食食饵系统．通过对特征方程的分析得到了正平衡点及边界平衡点的局部稳定性，进一步地给出了当τ增加到τn时，系统在正平衡点附近产生Hopf分支．最后，对保持稳定性的时滞长度进行了估计．

英文摘要：

A strage-structured predator-prey system with time delay is considered. By analyzing the characteristic equations, the local stability of a positive equilibrium and a boundary equilibrium is discussed, respectively. Further it is proved that the system undergoes a Hopf bifurcation at the positive equilibrium when τ = τ0. The estimation of the length of delay to preserve stability has also been calculated.

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期刊信息
  • 《信阳师范学院学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:信阳师范学院
  • 主办单位:信阳师范学院
  • 主编：刘彦明
  • 地址：河南省信阳市南湖路
  • 邮编：464000
  • 邮箱：xblk@xynu.edu.cn
  • 电话：0376-6393516
  • 国际标准刊号：ISSN：1003-0972
  • 国内统一刊号：ISSN：41-1107/N
  • 邮发代号:36-122
  • 获奖情况:
  • 河南省优秀科技期刊,河南省优秀学报
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,英国农业与生物科学研究中心文摘,波兰哥白尼索引,德国数学文摘,美国剑桥科学文摘,英国动物学记录,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（2011版）,中国北大核心期刊（2014版）
  • 被引量:5214