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

基金项目:

教育部高等学校博士学科点专项科研基金;广东省自然科学基金

详细信息

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.
- 捕食者-食饵系统 /
- 周期解 /
- 存在性 /
- 反馈控制 /
- 重合度 /
- Mawhin延拓定理.
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.
- predator-preysystem /
- periodic solution /
- existence /
- feedbackcontrol /
- coincidence degree /
- Mawhin's continuation theorem