谢旺生, 翁佩萱. 一类具有扩散与反馈控制的捕食者-食饵模型周期解的存在性[J]. 华南师范大学学报(自然科学版), 2012, 44(1).
引用本文: 谢旺生, 翁佩萱. 一类具有扩散与反馈控制的捕食者-食饵模型周期解的存在性[J]. 华南师范大学学报(自然科学版), 2012, 44(1).
Wang-Sheng XIE, Pei-Xuan WENG. Existence of periodic solution for apredator-prey model with diffusion and feedback control[J]. Journal of South China Normal University (Natural Science Edition), 2012, 44(1).
Citation: Wang-Sheng XIE, Pei-Xuan WENG. Existence of periodic solution for apredator-prey model with diffusion and feedback control[J]. Journal of South China Normal University (Natural Science Edition), 2012, 44(1).

一类具有扩散与反馈控制的捕食者-食饵模型周期解的存在性

Existence of periodic solution for apredator-prey model with diffusion and feedback control

  • 摘要: 研究一类具有斑块扩散与反馈控制的捕食者-食饵模型, 把微分方程求解问题转化为算子方程求解问题, 利用重合度的连续性定理证明了这一模型至少存在一个正周期解.

     

    Abstract: A periodic predator-prey model with patch-diffusion and feedback control is studied. By changing the ordinary differential system into an operator equation and using Mawhin's continuation theorem, the existence of at least one positive periodic solution for this model is proved.

     

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