非自治Kolmogorov系统常数解的摄动

Perturbation of a Constant Solution of Nonautonomous Kolmogorov System

本文利用临界情形的隐函数定理在两种不同情况下从系统的常数解求出它的摄动系统的周期解,解决了周期解的存在性、稳定性,并给出解和初值的近似表示式。

In this paper, by utilizing the implicit function theorem in criticalcases, the existence and stability of a periodic solution of perturbedKolmogorov system in two different cases are studied according to aconstant solution of unperturbed system. The approximate expressionsof the solution and its initial value are given.