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一类具有收获率的时滞阶段结构捕食系统的多重正周期解
引用本文:秦发金,姚晓洁,黄燕革.一类具有收获率的时滞阶段结构捕食系统的多重正周期解[J].数学的实践与认识,2010,40(4).
作者姓名:秦发金  姚晓洁  黄燕革
作者单位:1. 四川大学,数学学院,四川,成都,610064;广西柳州师范高等专科学校,数学与计算机科学系,广西,柳州,545004
2. 广西柳州师范高等专科学校,数学与计算机科学系,广西,柳州,545004
3. 广西百色学院,数学与计算机信息工程系,广西,百色,533000
摘    要:研究了一类具有收获率的时滞阶段结构捕食系统周期解存在性问题,利用重合度理论中的延拓定理,通过一些分析技巧,获得了该系统至少存在两个正周期解的一组易于验证的充分条件.

关 键 词:收获率  阶段结构捕食系统  正周期解  重合度

Multiple Periodic Solution for a Delayed Stage-structure Predator-prey Systems with Harvesting Rate
QIN Fa-jin,YAO Xiao-jie,HUANG Yan-ge.Multiple Periodic Solution for a Delayed Stage-structure Predator-prey Systems with Harvesting Rate[J].Mathematics in Practice and Theory,2010,40(4).
Authors:QIN Fa-jin  YAO Xiao-jie  HUANG Yan-ge
Institution:QIN Fa-jin~(1,2),YAO Xiao-jie~2,HUANG Yan-ge~3 (1.Mathematical College Sichuan University,Chendu 610064,China) (2.Department of Mathematics , Computer Science,Liuzhou Teachers College,Liuzhou 545004,China) (3.Department of Mathematics , Computer Information Engineering,Baise University,Baise 533000,China)
Abstract:In this paper,the author study the existence of periodic solutions for a delayed stage-structure predator-prey system with harvesting rate,by developing some technique of analysis and using continuation theorem baser on Mawhin's coincidence degree,a set of easily verifiable sufficient conditions are derived which this systems has at least two positive periodic solutions.
Keywords:harvesting rate  stage-structure predator-prey system  positive periodic solutions  coincidence degree  
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