PERMANENCE AND GLOBAL STABILITY TO A NONAUTONOMOUS NONLINEAR DISCRETE SINGLE SPECIES SYSTEM

PERMANENCE AND GLOBAL STABILITY TO A NONAUTONOMOUS NONLINEAR DISCRETE SINGLE SPECIES SYSTEM

导出

摘要 In this paper, we study some permanence and global stability to a nonautonomous nonlinear discrete single species system, and obtain some sufficient condition of global stability to the system. In this paper, we study some permanence and global stability to a nonautonomous nonlinear discrete single species system, and obtain some sufficient condition of global stability to the system.

作者 Li Lin

机构地区 Dept. of Math. and Physics

出处《Annals of Differential Equations》 2007年第4期433-439,共7页 微分方程年刊（英文版）

基金 the Natural Sciences Foundation of Fujian Province (Z0511044).

关键词 DISCRETE PERMANENCE global stability discrete permanence global stability

分类号 O17 [理学—基础数学]

引文网络
相关文献

参考文献10

1R.P.Agarwal.Difference Equations and Inequalities,Theory,Methods and Applicati- ons[]..1992
2F.D.Chen,X.D.Xie,J.L.Shi.Existence,uniqueness and stability of positive periodic solution for a nonlinear prey-competition model with delays[].Journal of Computational and Applied Mathematics.2006
3F.D.Chen.Some new results on the permanence and extinction of nonautono- mous Gilpin-Ayala type competition model with delays[].Nonlinear Analysis:RWA.2006
4F.D.Chen.Average conditions for permanence and extinction in nonautonomous Gilpin-Ayala competition model[].Nonlinear Analysis:RWA.2006
5F.D.Chen.Permanence in nonautonomous multi-species predator-prey system with feedback controls[].Journal of Applied Mathematics & Computing.2006
6F.D.Chen,L.P.Wu,and Z.Li.Permanence and global attractively of the discrete Gilpin- Ayala type population model[].Computers & Math with Applic.2007
7Coleman B D.Nonautonomous logistic equations as models of the adjustment of populations to environmental changs[].Mathematical Biosciences.1979
8Zhou Zhan,Zou X infu.Stab le period ic solutions in d iscrete period ic logistic equation[].App lied M athem atics Letters.2003
9K. Gopalsamy,M. R. S. Kulenovic,G.Ladas.Time lags in a "food-limited" population model[].Applicable Analysis.1988
10K. Gopalsamy,M. R. S. Kulenovic and G. Ladas.Environmental periodicity and time delays in a food-limited population model[].Journal of Mathematical.1990

1Xiaomei Feng, Fengqin Zhang, Yali Shen (Dept. of Math., Yuncheng University, Yuncheng 044000, Shanxi).PERMANENCE IN A SINGLE SPECIES NON-AUTONOMOUS SYSTEM WITH PURE-DELAY AND FEEDBACK CONTROL[J].Annals of Differential Equations,2011,27(2):132-137.
2Xiaojian Ma (School of Math.and Computer Science,Datong University,Datong 037009,Shanxi).PERMANENCE OF A DISCRETE SINGLE SPECIES SYSTEM WITH DELAYS AND FEEDBACK CONTROL[J].Annals of Differential Equations,2011,27(4):463-471.
3刘胜强,罗桂烈,江佑霖.A NONAUTONOMOUS STAGE-STRUCTURED SINGLE SPECIES MODEL WITH DIFFUSION[J].Annals of Differential Equations,2000,16(2):153-168. 被引量：1
4TIAN De-sheng CAI Guang-xing YANG Ce-ping.Existence of Two Periodic Solutions of a Delayed Single Species Model with Feedback Regulation and Harvest Term[J].Chinese Quarterly Journal of Mathematics,2010,25(3):407-413. 被引量：1
5蒋里强,马知恩.Stability of a Chem ostatModelfor a Single Specieswith Delayed NutrientRecycling——Case ofWeak KernelFunction[J].Chinese Quarterly Journal of Mathematics,1998,13(1):64-69.
6Feng De CHEN,Xiao Xin CHEN,Jin De CAO,An Ping CHEN.Positive Periodic Solutions of a Class of Non-autonomous Single Species Population Model with Delays and Feedback Control[J].Acta Mathematica Sinica,English Series,2005,21(6):1319-1336. 被引量：5
7田静,邱海波.Effects of Quantum Correction on Dynamical Phase Transition in a Single Species Bosonic Josephson Junction[J].Communications in Theoretical Physics,2013,60(8):171-174.
8JingHui,Lan-sunChen.A Single Species Model with Impulsive Diffusion[J].Acta Mathematicae Applicatae Sinica,2005,21(1):43-48. 被引量：6
9刘智钢,陈安平.THE EXISTENCE OF POSITIVE PERIODIC SOLUTIONS IN A LOGISTIC DIFFERENCE MODEL WITH A FEEDBACK CONTROL[J].Annals of Differential Equations,2004,20(4):369-378.
10QIU Zhipeng Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094,Department of Mathematics, University of Science and Technology of China, Hefei 230026, China..GLOBAL ATTRACTIVITY OF POPULATION MODELS WITH DELAYS AND DIFFUSION[J].Journal of Systems Science & Complexity,2005,18(3):396-403.

Annals of Differential Equations

2007年第4期

浏览历史

内容加载中请稍等...

PERMANENCE AND GLOBAL STABILITY TO A NONAUTONOMOUS NONLINEAR DISCRETE SINGLE SPECIES SYSTEM

参考文献10

相关作者

相关机构

相关主题

浏览历史