| 具有比率型功能反应的时标动力学系统的周期解 |
| |
| 引用本文： | 王维国,鲁红英.具有比率型功能反应的时标动力学系统的周期解[J].数学的实践与认识,2012,42(12):92-99. |
| |
| 作者姓名： | 王维国 鲁红英 |
| |
| 作者单位： | 东北财经大学数学与数量经济学院,辽宁大连,116025 |
| |
| 基金项目： | 国家自然科学基金，东北财经大学教学研究项目，东北财经大学教学改革项目 |
| |
| 摘 要： | 研究了一类具有比率型功能反应的食物链时标动力学系统,利用重合度理论中的延拓定理讨论了此系统周期解的存在性问题,得到了保证周期解存在的充分条件,从而使这一类系统的连续与离散情形:微分方程和差分方程的周期解存在性问题得到了统一研究.
|
| 关 键 词： | 时标 比率型功能反应 捕食者-食饵系统 周期解 重合度 |
Existence of Periodic Solution for Ratio-Dependent Functional Response Food Chain System on Time Scales |
| |
| WANG Wei-guo
,
LU Hong-ying.Existence of Periodic Solution for Ratio-Dependent Functional Response Food Chain System on Time Scales[J].Mathematics in Practice and Theory,2012,42(12):92-99. |
| |
| Authors: | WANG Wei-guo LU Hong-ying |
| |
| Institution: | (School of Mathematics and Quantitative Economics,Dongbei University of Finance & Economics,Dalian 116025,China) |
| |
| Abstract: | In this paper,the existence of periodic solutions of ratio-dependent functional response food chain system on time scales was explored.By using the continuation theorem of coincidence degree,a set of sufficient conditions ensuring the existence of periodic solutions of the system were obtained.Therefore,the methods are unified to explore the existence of periodic solutions for the continuous differential equations and discrete difference equations. |
| |
| Keywords: | time scales ratio-dependent functional response predator-prey system periodic solutions coincidence degree |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
