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| 摘要: |
| 研究了一类具有功能性反应函数xα/(1+βxα)捕食者-食饵模型，应用微分方程定性理论，讨论了该系统非负平衡点的性态以及正初始条件下解的有界性，得出了系统在参数变化范围内极限环的存在性与唯一性结论。 |
| 关键词: 捕食者-食饵系统 功能性反应 平衡点 极限环 |
| DOI： |
| 分类号: |
| 基金项目: |
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| Qualitative Analysis of a Class of Predator-prey System with Functional Response |
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WANG Qian-qian,LI Bao-Lin
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| Abstract: |
| A class of predator-prey model with the functional response xα/(1+βxα) was studied.The properties of non-negative equilibrium point and the boundedness of its solutins under positive initial condition in this system aree discussed by using qualitative theory of differential equantion,an existence and uniqueness of limit cycle within the change range of the parameters are obtained in the system. |
| Key words: predator-prey system functional response equilibrium point limit cycle |
