摘要
研究了时标上一类Lotka-Volterra竞争模型.运用时标上连续拓扑度定理,得到了系统存在周期解的充分条件,从而使系统的连续时间情形和离散时间情形的周期解问题得到了统一,该方法可广泛应用于研究微分方程和差分方程的周期解的存在问题.
In this paper,the existence of periodic solutions of a Lotka-Volterra model is studied by applying the continuation theorem based on coincidence degree theory on time scales.Some sufficient conditions for the existence of periodic solution are obtained.The approach which is used to unify the existence of the disired solutions for the continuous differential equations and discrete difference equations can be widely applied to investigate the existence of periodic solutions in differential equations and difference equations.
出处
《山东理工大学学报（自然科学版）》
CAS
2011年第6期86-89,共4页
Journal of Shandong University of Technology:Natural Science Edition
基金
安徽省高等学校省级自然科学研究项目(KJ2011Z129)
安徽农业大学多媒体教育软件研究项目
