一类互惠共存系统的时间周期解  

The Time-periodic Solution to a Mutualistic System

作　　者：施秀莲[1] 

机构地区：[1]肇庆学院数学与信息科学学院,肇庆526061

出　　处：《工程数学学报》2011年第6期845-851,共7页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(10926128)~~

摘　　要：互惠共存系统的时间周期解在理论和应用中有着重要意义.本文研究了一类具有Holling III功能性反应及非齐次项的互惠共存系统的时间周期解问题.首先利用Galerkin方法构造逼近时间周期解序列,然后利用Leray-Schauder不动点定理和先验估计,证明了逼近时间周期解序列的收敛性,从而得到该系统时间周期解的存在性.The time-periodic solution of the mutualistic system has important implications in both theory and application.Discussed in this paper is the time-periodic solution to a mutualistic system with the Holling III type functional response and non-homogeneous terms.The approximate sequence of the time-periodic solution is constructed by using the Galerkin method.Then the convergence of the approximate solution is proved by virtue of the Leray-Schauder fixed point theorem and a priori estimate.Finally,the existence of the time-periodic solution to the discussed mutualistic system is obtained.

关 键 词：互惠共存系统 HollingⅢ类功能性反应 GALERKIN方法 SCHAUDER不动点定理 时间周期解 

分 类 号：O175.29[理学—数学]