| 一类捕食者——食饵模型的定性分析 |
| |
| 引用本文： | 骆桦.一类捕食者——食饵模型的定性分析[J].北京理工大学学报,1988(4). |
| |
| 作者姓名： | 骆桦 |
| |
| 作者单位： | 北京工业学院应用数学系 |
| |
| 摘 要： | 本文对一类捕食者——食饵模型进行定性分析,得到了非平凡平衡点全局稳定性的条件和正平衡点周围存在唯一极限环的充分条件,并且本文给出了1个关于这类系统“大范围”极限环的存在唯一性定理。
|
| 关 键 词： | 捕食者——食饵模型 定性分析 非平凡平衡点全局稳定 唯一极限环 |
QUALITATIVE ANALYSIS OF A CLASS OF PREDATOR-PREY MODEL |
| |
| Luo Hua.QUALITATIVE ANALYSIS OF A CLASS OF PREDATOR-PREY MODEL[J].Journal of Beijing Institute of Technology(Natural Science Edition),1988(4). |
| |
| Authors: | Luo Hua |
| |
| Institution: | Department of Applied Mathematics |
| |
| Abstract: | The paper is devoted to the qualitative analysis of a class of predator prey model. Conditions for the global stability of nontrivial equilibrium point and sufficient conditions for the existence and uniqueness of limit cycles around the positive equilibrium point are obtained. The paper also gives a theorem for the existence and uniqueness of limit cycles within aa "extented range" for this class of model. |
| |
| Keywords: | predator-prey model qualitative analysis globally stable non- trivial equilibrium point unique lim:t cycle |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《北京理工大学学报》浏览原始摘要信息 |
| 点击此处可从《北京理工大学学报》下载免费的PDF全文 |
