摘要
本文研究描述种群相互作用数学模型中一类 Kolmogorov 微分系统,并应用微分方程定性理论,完整地解决了该系统极限环的存在性和唯一性问题。
This paper is devoted to the qualitative analysis of a class of Kolmogorov system. The conditions for the existence and uniqueness of limit cycles around the positive equal- ibrium point are obtained completely by using the qualitative method in differential equation theory.
关键词
微分方程
极限环
数学模型
differential equations
uniqueness
limit cycles
Kolmogorov system
qualitative analysis