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一类具有时滞的捕食系统
  • 期刊名称：信阳师范学院学报
  • 时间：0
  • 页码：391-394
  • 语言：中文
  • 分类：O175.14[理学—数学;理学—基础数学]
  • 作者机构：[1]军械工程学院应用数学研究所,河北石家庄050003
  • 相关基金：国家自然科学基金项目（10671209）
  • 相关项目：具有时空滞后的反应扩散种群模型的建立与研究
作者： 张天平, 徐瑞, 李哲|
关键词： 捕食系统, 时滞, Hopf分支, 李雅普诺夫泛函, 全局稳定性, predator-prey model , time delay, Hopf bifurcation, Lyapunov functional, global stability
中文摘要：

研究一类具有时滞的两种群捕食系统.通过分析特征方程讨论了正平衡点的局部稳定性问题.通过构造适当的Lyapunov泛函,得到了系统正平衡点全局渐近稳定的充分条件,并讨论了在正平衡点附近Hopf分支的存在性问题.

英文摘要：

A predator-prey model with time delay is investigated. The local stability of a positive equilibrium is discussed by analyzing the corresponding characteristic equation. By constructing a suitable Lyapunov functional, sufficient conditions are derived for the global asymptotic stability of the positive equilibrium. The existence of Hopf bifurcation is also addressed.

同期刊论文项目
具有时空滞后的反应扩散种群模型的建立与研究
期刊论文 60 会议论文 4
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