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一类具有时滞和阶段结构的捕食系统的全局分析
  • 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, [2]信阳师范学院计算机科学系,河南信阳464000
  • 相关基金：国家自然科学基金资助项目（10771179）;河南省教育厅自然科学基金项目（2007110028）
作者： 师向云[1], 郭振[2]
关键词： 捕食-食饵模型, 阶段结构, 时滞, Hopf分支, 全局稳定性, 永久持续生存, predater-prey model , stage structure , delay, Hopf bifurcation , global stability, persistence
中文摘要：

考虑了一类具有时滞和阶段结构的捕食系统，分析了系统的非负不变性、边界平衡点的性质、全局渐近稳定性及永久持续生存性．在这一系统中当时滞τ由0变化到τ0时，系统在平衡点附近发生Hopf分支，即当τ增加通过临界值τ0时从正平衡点分支出周期解．

英文摘要：

A predator-prey system of two species with stage structure and time delay is consid- ered. The invariance of non-negativity, nature of the boundary equilibria, permanence and global sta- bility are analyzed. The results show that positive equilibrium is locally asymptotically stable when time delay τ is suitable small,while a loss of stability by a Hopf bifurcation can occur as the delay increase. That is, a family of periodic solutions bifurcates from positive equilibrium as τ passes through the critical value τ0.

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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