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《Mathematics in Practice and Theory》 2007-24
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Persistence and Periodic Solution for a Nonautonomous Stage-Structure Predator-prey System

ZHANG An-mei(Department of Mathematical Tonghua Normal University,Tonghua Jilin 134002,China)  
We study the amyptotic properties of the solution for a class of nonautonomous stage structured predator prey systems.It is shown that the system is permanent under some appropriate conditions,and sufficient conditions are established for existence uniqueness and stability of positive periodic solutions with respect to the corresponding periodic system.
【Fund】: 吉林省教育厅“十一五”科研资助项目
【CateGory Index】: O175;O193
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【References】
Chinese Journal Full-text Database 2 Hits
1 XIAO Kun,TANG Qing-gan,WANG Hai-feng (School of Mathematics and Computational Science,Guilin University of Electronic Technology,Guilin 541004,China);A predator-prey system with nonautonomous stage-structure[J];Journal of Guilin University of Electronic Technology;2009-05
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Chinese Journal Full-text Database 2 Hits
1 Chen Lansun Song Xinyu (Institute of Mathematics,Academia Sinica,Beijing 100080);A Class of Nonautonomous Stage-Structured Predator-Prey Systems[J];JOURNAL OF PINGDINGSHAN TEACHERS' COLLEGE;1999-02
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 LIU Hui min\ \ ZHANG Yu juan\ \ LIU Bing\ \ ZHANG Shu wen (Institute of Biomathematics,Anshan Teachers College,Liaoning Anshan 114005,China);Permanence of a Periodic Solution for a Mature Predator Prey System[J];Journal of Anshan Teachers College;2000-03
2 LIU Hui min (Institute of Biomathematics,Anshan Teachers College,Liaoning Anshan 114005,China) LIU Wan bo (Senior Middle School of Anshan Steel iron Company,Liaoning Anshan 114004,China) LIANG Xiao li (The Economic Management Teaching and Researc;Permanence of a Nonautonomous Stage-structured Mutually System[J];Journal of Anshan Teachers College;2001-01
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【Co-references】
Chinese Journal Full-text Database 10 Hits
1 WANG Ai-li(Department of Mathematics,Baoji University of Arts and Sciences,Baoji 721013,Shaanxi,China);Asymptotic behavior of solutions for a class of predator-prey system with stage structure[J];Journal of Baoji University of Arts and Sciences(Natural Science Edition);2008-02
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4 ZHANG Li-min(School of Mathematic and Information Science,Wenzhou University,Wenzhou 325035,P.R.China);Stage-structured Predator-prey System with Efficiency of Resources Utilization[J];Science Technology and Engineering;2008-22
5 ZHANG An-mei, YU Shu-min(Department of Mathematical,Tonghua Normal University,Tonghua Jilin 134002,China);Impulsive Control of a the Stage-Structured Single-Species Model and Optimal Harvesting Policies[J];Mathematics in Practice and Theory;2007-16
6 LIU Bing, ZHANG Shu-wen, MA Yi (Institute of Biomathematics, Anshan Teachers College, Liaoning Anshan 114005 China) (Shenyang University, Liaoning Shengyang 114001 China);Persistence and Periodic Solution for a Class of Nonautonomous Stage-Structure Predator-Prey System[J];Journal of Biomathematics;2001-04
7 CHENG Rong-fu CAI Shu-yun(Beihua University, Jilin Jilin 132021 China);A Qualitative Analysis of a Kind of Food with Functional Response-Two Group Types of Predators[J];Journal of Biomathematics;2002-04
8 LU Hong-ying WANG Ke (Department of Quantitative Economics, Northeast University of Finance and Economics, Dahn Liaoning 116025 China) (Department of Mathematics, Northeast Normal University, Key Laboratory for Vegetation Ecology Education Ministry, Changchun Jilin 130024 China);The Problem of Positive Almost Periodic Solution for Two-Species Nonautonomous Diffusion Lotka-Volterra Models[J];Journal of Biomathematics;2003-04
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