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《Mathematics in Practice and Theory》 2007-12
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Sasymptotic Behavior of a Nonautonomous Competition Diffusive Lotka-volterra Model with Continous Delays

LIANG Jian-xiu1, CHEN Si-yang2(1.School of Mathematics,Jinzhong Institute,Jinzhong 030600,China)(2.College of Mathematics and Information Science,Shanxi Normal University,Xian Shanxi 710062,China)  
The persistence concept is one of the important discriptions about stability in the species ecological models,but the study about the competition species coexistence is the important question in the species ecology.A nonautonomous Two-species competition diffusive model with continous delays is studied.It is shown that model is uniform persistence under some appropriate conditions,sufficient conditions are established the existence of a positive periodic solution which is global asymptotic stability by differential inequality and lyapunov functional.
【CateGory Index】: O175.6
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 Gui Zhanji (Heilongjiang Mining institute, Jixi 158105);Periodic Solutions to Diffusive Models with Periodic Coefficients and Continuous Time Delays[J];JOURNAL OF BIOMATHEMATICS;1999-01
【Co-citations】
Chinese Journal Full-text Database 5 Hits
1 LIANG Jian-xiu (School of Mathematics,Jinzhong University,Jinzhong 030600,China);Periodic Solution of a Non-autonomous Two-species Competition Diffusive Model with Discrete Delays[J];Journal of Jinzhong University;2009-03
2 HUANG Jian-Ke, CHEN Si-Yang (College of Mathematics & Information Science, Shaanxi NormalUniversity ,Xi' an 710062, China ; Xi' an Army Academy, Xi' an 710108, China);Permanence of Distributed Delay Competition System with Feedback Controls[J];Journal of Luoyang Institute of Technology;2005-03
3 LIANG Jian-xiu(School of Mathematics,Jinzhong Institute,Jinzhong 030600,China);Periodic Solution of a Nonautonomous Diffusive Model with Discrete Delays[J];Mathematics in Practice and Theory;2008-12
4 Gui Zhanji (Department of Mathematics, Beijing Institute of Technology, Beijing 100081; Department of Mathematics, Hainan Normal University, Haikou 571158) Ge Weigao (Department of Mathematics, Beijing Institute of Technology, Beijing 100081);PERMANENCE AND STABILITY FOR PREDATOR-PREY SYSTEM WITH DIFFUSION AND TIME DELAY[J];;2005-01
5 ~1 Gui Zhanji ~2 Jia Jing ~3 Ge Weigao (~1Department of Mathematics,Hainan Normal University,Haikou 571158;~2Department of Elementary Courses,North China Institute of Science and Technology,Beijing 101601;~3Department of Mathematics,Beijing Institute of Technology,Beijing 100081);Global Stability of Single-species Diffusion Models with Time Delay[J];Acta Mathematica Scientia;2007-03
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 Luo Maocai;Ma Zhen(Tecknical College of the chinesepeoples Armied Police Force,Xi'an 710086)(Xi'an Jiaotong University,Xi'an 710049);The Persistence of Two Species Lotka-Volterra Model with Diffusion[J];Journal of Biomathematics;1997-01
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