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具有巢寄生行为和阶段结构的两种群模型分析
引用本文:陈丹,张耘嘉,张树文.具有巢寄生行为和阶段结构的两种群模型分析[J].纯粹数学与应用数学,2010,26(4):656-662.
作者姓名:陈丹  张耘嘉  张树文
作者单位:集美大学理学院,福建,厦门,361021;厦门理工学院环境工程系,福建,厦门,361021
摘    要:研究具有巢寄生行为的两种群模型,两个种群都具有阶段结构.利用微分方程比较定理得到该系统持续生存的充分性条件,进一步利用Liapunov函数方法,证明了在适当的条件下,周期解及概周期解的全局渐近稳定性.

关 键 词:巢寄生  一致持久性  阶段结构  概周期解

Analysis of a two-species model with nest parasitism and stage structure
CHEN Dan,ZHANG Yun-jia,ZHANG Shu-wen.Analysis of a two-species model with nest parasitism and stage structure[J].Pure and Applied Mathematics,2010,26(4):656-662.
Authors:CHEN Dan  ZHANG Yun-jia  ZHANG Shu-wen
Institution:CHEN Dan 1,ZHANG Yun-jia 2,ZHANG Shu-wen 1(1.School of Sciences,Jimei University,Xiamen 361021,China,2.Department of Environmental Engineering,Xiamen University of Technology,China)
Abstract:This paper considered a two-species mode1 with nest parasitism,where both the two group are devided to two stages.By using comparison theorem of di?erential equation,we obtained su?cient conditions for permanence of the system.Furthermore,globally asymptotical stability of periodic solution and al-most periodic solution have been proved under the appropriate conditions by using Liapunov function method.
Keywords:nest parasitism  stage structure  permanence  almost periodic solution  
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