| 具有庇护所的Lotka-Volterra型捕食-食饵系统 |
| |
| 引用本文： | 林琳,侯林洁.具有庇护所的Lotka-Volterra型捕食-食饵系统[J].北华大学学报(自然科学版),2012,13(1):19-21. |
| |
| 作者姓名： | 林琳 侯林洁 |
| |
| 作者单位： | 运城农业职业技术学院基础教学部,山西运城,044000;运城农业职业技术学院基础教学部,山西运城,044000 |
| |
| 摘 要： | 研究了一类具有庇护所效应的Lotka-Volterra型捕食-食饵系统,讨论了该系统平衡点的存在性,利用常微分方程定性理论,得到了平衡点的稳定性,并给出了平衡点的全局稳定性的充分条件.
|
| 关 键 词： | 庇护所效应 捕食者 食饵 平衡点 稳定性 极限环 |
On Lotka-Volterra Predator-prey System with Prey Refuges |
| |
| LIN Lin,HOU Lin-jie.On Lotka-Volterra Predator-prey System with Prey Refuges[J].Journal of Beihua University(Natural Science),2012,13(1):19-21. |
| |
| Authors: | LIN Lin HOU Lin-jie |
| |
| Institution: | (Primary Education Department of Yuncheng Polytechnic College of Agriculture,Yuncheng 044000,China) |
| |
| Abstract: | The Lotka-Volterra prey-predator system with prey refuges is studied.The existence of the equilibriums is discussed.By using the qualitative theory of ordinary differential equations,the stability of equilibriums is obtained.The sufficient conditions for global stability of the equilibriums are given. |
| |
| Keywords: | shelter effect predator prey equilibrium point stability limit cycle |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
