| 一类具生物控制和比率依赖的食物链系统的周期解存在性 |
| |
| 引用本文： | 吕永震,焉波,戚大伟.一类具生物控制和比率依赖的食物链系统的周期解存在性[J].东北林业大学学报,2009,37(10). |
| |
| 作者姓名： | 吕永震 焉波 戚大伟 |
| |
| 作者单位： | 1. 北华大学,吉林,132013
2. 东北林业大学 |
| |
| 摘 要： | 利用重合度理论中的延拓定理,研究了具有生物控制和比率型功能性反应的食物链系统周期解存在性问题,得到了捕食者-食饵系统保证周期解存在的充分条件.所得结果与实际情况相符,对进一步研究一类具生物控制和比率依赖的食物链系统有重要意义.
|
| 关 键 词： | 捕食者-食饵系统 比率型功能性反应 反馈控制 周期解 重合度 |
Existence of Periodic Solution for Food Chain System with Bio-controls and Ratio-dependent Functional Response |
| |
| Lu Yongzen,Yan Bo,Qi Dawei.Existence of Periodic Solution for Food Chain System with Bio-controls and Ratio-dependent Functional Response[J].Journal of Northeast Forestry University,2009,37(10). |
| |
| Authors: | Lu Yongzen Yan Bo Qi Dawei |
| |
| Institution: | Lu Yongzen,Yan Bo(Beihua University,Jilin 132013,P. R. China),Qi Dawei(Northeast Forestry University) |
| |
| Abstract: | Extension theorem of coincidence degree theory was applied to study the existence of periodic solution for food chain system with bio-controls and ratio-dependent functional response. A set of sufficient conditions for ensuring the existence of a periodic solution was derived. It is proved that the obtained result is consistent with the actual situation. |
| |
| Keywords: | Predator-prey system Ratio-dependent functional response Bio-controls Periodic solution Coincidence degree |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
