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《Acta Scicentiarum Naturalum Universitis Pekinesis》 2003-01
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Persistence and Global Stability for Nonautonomous Cooperative System with Diffusion and Time Delay

CHEN Fengde (Department of Mathematics,School of Mathematics Sciences,Peking University, Beijing,100871,E-mail:fdchen@263.net)  
A non-autonomous cooperative model with diffusion and continuous time delay is studied,where all parameters are time-dependent.The system,which is composed of two patches,has two species:one can diffuse between two patches,but the other is confined to one patch and cannot diffuse.It is proved that the system is uniformly persistent under appropriate conditions.Furthermore,sufficient conditions are established for global stability of the system.
【CateGory Index】: O175.12
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【Co-references】
Chinese Journal Full-text Database 10 Hits
1 Pan Jinxiao (Department of mathematics,North China Institute of Technology,Taiyuan 030051)Wang Feng (College of Science,Xi’an Jiaotong University,Xi’an 710049);The Threshold of Persistence and Extinction for System of Three dimensional Volterra Mutualictic System in a Polluted Environment[J];CHINESE JOURNAL OF ENGINEERING MATHEMATICS;2000-01
2 CHEN Feng-de, SHI Jin-lin, CHEN Xiao-xing (Department of Mathematics, Fuzhou University, Fuzhou 350002);Periodicity in a Lotka - Volterra Facultative Mutualism System with Several Delays[J];Chinese Journal of Engineering Mathematics;2004-03
3 XIONG You\|bing, WANG Ke ( Dept. of Math.,Northeast Normal Univ.,Changchun\ 130024,China) \;;Almost periodic solution for a class of ecological systems with time delay[J];Applied Mathematics A Journal of Chinese Universities;2003-02
4 LI Bi-wen~(1,2), HU Son-lin~1, ZENG Xian-wu~2(1.Department of Mathematics, Hubei Normal University, Huangshi, Hubei 435002;2.College of Mathematics and Statistics, Wuhan University, Wuhan 430072);Stability of n species cooperative Lotka-Volterra ecological systems[J];Journal of Central China Normal University(Natural Sciences);2004-01
5 WEI Feng-ying,WANG Ke (Department of Mathematics,Northeast Normal University,Changchun 130024 Key Laboratory for Vegatation Ecology of Education Ministry P.R.China);Almost Periodic Solution and Stability for Nonautonmous Cooperative Lotka-Volterra Diffusion System[J];Songliao Journal (Natnral Science Edition);2002-03
6 WANG Zhen~(1,2),LIN Xiao-lin~2 (1.Department of Foundation,Xijing College,Xi'an 710123,China) (2.Faculty of Science,Shaanxi University of Science and Technology,Xi'an 710021,China);Existence of Positive Periodic Solution of n-Dimensional Lotka-Volterra System with Delays[J];Mathematics in Practice and Theory;2009-07
7 WANG Yuan-shi(Department of Mathematics, Zhongshan University, Guangzhou Guangdong China);The Global Dynamic Behavior of the Cooperative Svstems of Three Soecies[J];Journal of Biomathematics;2002-04
8 TAN De-jun(Editortal Department of Journal, Anshan Normal University, Anshan Liaoning 114005 China);The Existence of Positive Periodic Solution of Lotka-Volterra Cooperative System with Birth Pulse[J];Journal of Biomathematics;2004-04
9 LI YONGXIANG Department of Mathematics, Northwest Normal University, Lanzhou 730070, China.E-mail: liyx@nwnu.edu.cn;POSITIVE PERIODIC SOLUTIONS OF FIRST AND SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS[J];数学年刊B辑(英文版);2004-03
10 Xian Hua TANG(Department of Applied Mathematics, Central South University, Changsha 410083, P. R. China)(E-mail: xhtang@public.cs.hn.cn)Jian She YU(Department of Applied Mathematics, Hunan University, Changsha 410082, P. R. China) (E-mail: jsyu@mail.hunu.;Global Attractivity of the Zero Solution of Logistic Type Functional Differential Equations with Impulses[J];Acta Mathematica Sinica;2002-05
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