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《Acta Mathematica Scientia》 2007-03
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Global Stability of Single-species Diffusion Models with Time Delay

~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)  
In this paper,single-species diffusion models with time delays are investigated. It can have a positive equilibrium by homotopy techniques.It is showed that the system is uniformly persistent under appropriate conditions,and sufficient conditions are obtained for local stability and global stability of the equilibrium of the system.
【Fund】: 国家自然科学基金(10371006);; 海南省自然科学基金(80522)资助
【CateGory Index】: O175.13
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【References】
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1 ZHANG Fan1a,ZHANG Chao1b,SONG Qiang2(1a.College of Computer Science and Technology,b.College of Mathematics and Information Science,Xinyang Normal University,Xinyang 464000,China;2.Department of Mathmatics and Computer Science,Xinyang Vocational and Technical College,Xinyang 464000,China);The Global Attractivity of a Predator-prey System with Time Delay[J];Journal of Xinyang Normal University(Natural Science Edition);2009-03
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4 Xu Rui (Institute of Applied Mathematics, Ordnance Engineering College, Shijiazhuang 050003) (College of Science, Xi'an Jiaotong University, Xi'an 710049) Hao Feilong (Department of Mathematics, Ordnance Engineering College, Shijiazhuang 050003) Chen Lansun (Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080);A Stage-Structured Predator-Prey Model with Time Delays[J];Acta Mathematica Scientia;2006-03
【Co-citations】
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1 Guo Yanfen(Northeast Forestry University,Harbin 150040,P.R.China);Qualitative Analysis of A Predator-Prey System with Infection of Prey Population[J];Journal of Northeast Forestry University;2008-08
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4 Xiao Yanni Chen L ansun (Insitute of Mathematics,Academia Sinica,Beijing 10 0 0 80 );Stabilizing Effectof Cannibalism on a Structured Competitive System[J];Acta Mathematiea Scientia;2002-02
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