摘要
本文利用定性分析方法,研究了一类食饵具有常数存放率的Kolmogorov生态系统,讨论了系统平衡点的相对位置和性态,可行平衡点的全局稳定性,给出了一组解的有界性、系统无环性以及极限环的存在唯一性的条件,推广了文[1]和[2]的主要结果.
In this paper, we study a class of Kolmogorov's ecological system with prey having constant adding rate, discuss the relative position and the character of the equalibriums, the global stability of the practical equalibriums and give a group of conditions for the boundedness of the solutions, the nonexistence, the existence and the uniqueness of the limit cycle of the system. Most results obtained in papers [1] and [2] are included or generalized.
出处
《应用数学和力学》
CSCD
北大核心
1992年第4期327-334,共8页
Applied Mathematics and Mechanics
基金
国家青年自然科学基金资助课题
关键词
生态系统
微分方程
极限环
稳定性
ecological system, differential equations, global stability, limit cycle,existence, uniqueness
