摘要
对食饵具有常数收获率的Kolmogorov捕食者-食饵系统进行了定性分析,得到了该系统存在稳定(或不稳定)分界线环和唯一稳定极限环的条件,以及该系统不存在周期解的条件。
The author gives qualitative analysis for Kolmogorov predator-prey system with constant-rate prey harvesting, obtains conditions of following cases: the system has stable (or non-stable) separatrix cycles, the system has a unique stable limit cycle, and the system exists not periodic solution.
出处
《四川大学学报(自然科学版)》
CAS
CSCD
1989年第3期252-259,共8页
Journal of Sichuan University(Natural Science Edition)
基金
国家自然科学基金资助项目
关键词
常微分方程
生物数学
极限环
predator-prey system, limit cycle, biological mathematics, ordinary differential equation, path, ecology.