| 一类捕食-食饵系统的动力学主行为分析 |
| |
| 引用本文： | 张萱,冯进钤.一类捕食-食饵系统的动力学主行为分析[J].西北纺织工学院学报,2011(3):418-420. |
| |
| 作者姓名： | 张萱 冯进钤 |
| |
| 作者单位： | [1]西北工业大学理学院,陕西西安710072 [2]西安文理学院,陕西西安710065 [3]西安工程大学理学院,陕西西安710048 |
| |
| 基金项目： | 陕西省教育厅专项科研计划项目（2010JK557）; 西安工程大学博士科研基金项目（BS1003） |
| |
| 摘 要： | 借助Filippov系统动力学理论,结合系统向量场的特性,引入了滑动向量场,讨论了一类具有Holling Ⅱ型功能性反应的捕食-食饵系统的复杂动力学行为.结合定性分析,给出简单实用的数值仿真策略.研究了系统的边界焦点分岔、边界鞍节分叉和极限环的加滑分叉等多种新颖的分叉现象,这些特殊的分岔行为反应了捕食-食饵系统的突变和平衡等生态行为.
|
| 关 键 词： | 捕食-食饵系统 Filippov系统 分叉 |
Analysis of dynamics behaviours for a predator-prey system |
| |
| ZHANG Xuan,FENG Jin-qian.Analysis of dynamics behaviours for a predator-prey system[J].Journal of Northwest Institute of Textile Science and Technology,2011(3):418-420. |
| |
| Authors: | ZHANG Xuan FENG Jin-qian |
| |
| Affiliation: | 1.School of Science,Northwestern Polytechnical University,Xi′an 710072,China;2.Xi′an University of Arts and Science,Xi′an 710065,China;3.School of Science,Xi′an Polytechnic Universisty,Xi′an 710048,China) |
| |
| Abstract: | Based on the theory of Filippov system and the character of vector space,sliding vector space is introduced,and complex dynamics in a predator-prey model with the Holling II-type response function is investigated.By using qualitative analysis and numerical simulations,a few novel bifurcation phenomenons including boundary focus bifurcation,adding-sliding bifurcation of limit cycle and boundary saddle-node bifurcation,are discussed.These novel bifurcations implicate the crisis and equilibrium ecology behaviors. |
| |
| Keywords: | predator-prey system filippov bifurcation |
| 本文献已被 维普 等数据库收录！ |
|
