多滞量Lotka-Volterra互惠系统的周期解(英文)  

Periodicity in a Lotka - Volterra Facultative Mutualism System with Several Delays

作　　者：陈凤德[1] 史金麟[1] 陈晓星[1] 

机构地区：[1]福州大学数学系,福建福州35002

出　　处：《工程数学学报》2004年第3期403-409,共7页Chinese Journal of Engineering Mathematics

基　　金：This work is supported by the the grant APFU-0030824228; of Fuzhou University,the grant DSTFU-2003-QX-21; the grant FJEB-JB01023.

摘　　要：利用重合度理论研究具有任意有限时滞的两种群非自治Lotka-Volterra互惠系统,获得了周期正 解的存在性,推广了Gopalsamy及He(1997)和杨帆等(2002)的工作。With the help of a continuation theorem based on Gaines and Mawhin's coincidence degree, easily verifiable criteria are established for the global existence of positive periodic colutions of the facultative system with several delays. The result we obtained here generalized the result of Gopalsamy and He (1997) and Yang Fan et al (2002).

关 键 词：周期正解 多时滞Lotka-Volterra互惠系统 重合度 存在性 

分 类 号：TB115[理学—数学]