ON THE ALMOST PERIODIC KOLMOGOROV COMPETITIVE SYSTEMS WITH FEEDBACK CONTROLS 被引量：1

ON THE ALMOST PERIODIC KOLMOGOROV COMPETITIVE SYSTEMS WITH FEEDBACK CONTROLS

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摘要 In this paper, we consider an almost periodic multi-species Kolmogorov type com-petitive system with feedback controls. Applying Schauder’s fixed point theorem, a criterion on the existence of the positive almost periodic solution to the system is obtained. Our results improve and generalize some existing conclusions. In this paper, we consider an almost periodic multi-species Kolmogorov type com-petitive system with feedback controls. Applying Schauder’s fixed point theorem, a criterion on the existence of the positive almost periodic solution to the system is obtained. Our results improve and generalize some existing conclusions.

作者 Lai Weiying (College of Computer and Information, Fujian Agriculture and Forestry University, Fuzhou 350002)

出处《Annals of Differential Equations》 2008年第3期261-269,共9页 微分方程年刊（英文版）

基金 the Foundation of Fujian Education Bureau (JA04156).

关键词 Kolmogorov system Schauder’s fixed point theorem almost periodic solution COMPETITION feedback controls Kolmogorov system Schauder’s fixed point theorem almost periodic solution competition feedback controls

分类号 O175 [理学—数学]

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参考文献4

1杨帆,蒋达清.EXISTENCE AND GLOBAL ATTRACTIVITY OF POSITIVE PERIODIC SOLUTION OF A LOGISTIC GROWTH SYSTEM WITH FEEDBACK CONTROL AND DEVIATING ARGUMENTS[J].Annals of Differential Equations,2001,17(4):377-384. 被引量：17
2黄振坤,陈凤德.具有无穷时滞反馈控制的两种群竞争模型的概周期解[J].工程数学学报,2004,21(1):33-40. 被引量：10
3Feng-deChen Jin-linShi.Periodicity in a Nonlinear Predator-prey System with State Dependent Delays[J].Acta Mathematicae Applicatae Sinica,2005,21(1):49-60. 被引量：5
4李晓月,范猛,王克.具反馈控制和无穷时滞单种群模型周期正解[J].高校应用数学学报（A辑）,2002,17(1):13-21. 被引量：16

二级参考文献16

1[1]Zhang B G,Gopalsamy K.Global attractivity in the delay logistic equation with variable parameters[J].Math.Proc.Cambridge Philos.Soc.,1990,107:579～590. 被引量：1
2[2]Clark C W.Mathematical Bioeconomics:The Optimal Management of Renewable Resources,2nd ed.[M].New York:Wiley-interscience Publication,1990. 被引量：1
3[3]Weng Peixuan,Liang Miaolian.Existence and global attractivity of periodic solution of a model in population dynamics[J].Acta Math.Appl.Sinica,1996,4:427～433. 被引量：1
4[4]Zhang B G,Gopalsamy K.Global attractivity and oscillations in a periodic delay logistic equation[J].J.Math.Anal.Appl.,1990,150:274～283. 被引量：1
5[5]Lenhart S M and Travis C C.Global stability of a biological model[J].Proc.Amer.Math.Soc.,1986,96:75～78. 被引量：1
6[6]Gopalsamy K and Weng Peixuan.Feedback regulation of logistic growth[J].Internat.J.Math.& Math.Sci.,1993,1:177～192. 被引量：1
7[7]Coleman B D.Nonautonomous logistic equations as models of the adjustment of populations to environmental changs[J].Math.Biosci.,1979,45:159～173. 被引量：1
8[8]Coleman B D,Hsieh Y H,Knowles G P.On the optimal choice of r for a population in a periodic enviroment[J].Math.Biosci.,1979,46:71～85. 被引量：1
9[9]Gopalsamy K.Stability and oscillations in delay differential equations of population dynamics,Kluwmer Acad.,Dordrecht,1992. 被引量：1
10[10]Gopalsamy K,He X Z.Dynamics of an almost periodic logistic integro-differential equation[J].Methods Appl.Anal.,1995,2:38～66. 被引量：1

共引文献39

1倪华.时滞单种群反馈控制对数模型的周期解[J].福州大学学报（自然科学版）,2004,32(z1):15-19. 被引量：1
2Yaoping Chen,Fengde Chen (College of Math,and Computer Science,Fuzhou University,Fuzhou 350002).PERMANENCE OF A NONLINEAR DISCRETE PREDATOR-PREY SYSTEM[J].Annals of Differential Equations,2009,25(3):284-294.
3Lijuan Chen, Junyan Xu (College of Math. and Computer Science, Fuzhou University, Fuzhou 350002).PERMANENCE OF GENERAL NONAUTONOMOUS SINGLE-SPECIES KOLMOGOROV TYPE SYSTEM WITH DELAY AND FEEDBACK CONTROLS[J].Annals of Differential Equations,2009,25(4):379-384.
4Yaoping Chen (Concord University College of Fujian Normal University, Fuzhou 350007).EXTINCTION OF A DISCRETE NONLINEAR PREDATOR-PREY SYSTEM[J].Annals of Differential Equations,2010,26(4):379-384.
5高建国.具有时滞和基于比率的一类捕食者-食饵系统全局周期解的存在性[J].生物数学学报,2005,20(3):315-320. 被引量：25
6何尾莲.具时变离散时滞单种群反馈控制模型的全局稳定性[J].福州大学学报（自然科学版）,2005,33(5):553-556. 被引量：4
7施春玲.具有限连续时滞单种群反馈控制模型的全局稳定性[J].福州大学学报（自然科学版）,2005,33(5):557-561. 被引量：1
8孙德献,陈凤德,陈晓星.具有时滞和反馈控制的Logistic增长模型的正周期解[J].生物数学学报,2005,20(4):447-455. 被引量：10
9Feng 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
10陈凤德.n种群Lotka-Volterra时滞竞争反馈控制生态系统的全局吸引性[J].数学学报（中文版）,2006,49(2):335-346. 被引量：7

引证文献1

1赖尾英.On the Permanence of a Nonautonomous Nicholson’s Blowflies Model with Feedback Control and Delay[J].Chinese Quarterly Journal of Mathematics,2011,26(4):568-572. 被引量：2

二级引证文献2

1伍代勇.Bifurcation Analysis of a Discrete Logistic System with Feedback Control[J].Chinese Quarterly Journal of Mathematics,2015,30(1):66-78.
2康瑞妮,张太雷,刘俊利.A Non-autonomous SIR Epidemic Model of Prey-predator with Vaccination and Time Delay[J].Chinese Quarterly Journal of Mathematics,2015,30(3):450-461. 被引量：3

1Dishen Jiabu.POSITIVE ALMOST PERIODIC SOLUTIONS OF n DIMENSIONAL NONAUTONOMOUS LOTKA-VOLTERRA COMPETITIVE SYSTEMS[J].Annals of Differential Equations,2007,23(4):400-404.
2TANG Fan,LIU Zhi-jun.Feedback Controls in An Almost Periodic Delay Difference Competitive System[J].生物数学学报,2016,31(1):28-46.
3ChunhuaFeng,Jianmin Huang.Almost periodic solutions of nonautonomous Lotka-Volterra competitive systems with dominated delays[J].International Journal of Biomathematics,2015,8(2):91-102.
4王克.PERSISTENCE OF NONAUTONOMOUS COMPETITIVE SYSTEMS WITH INFINITE　DELAY[J].Acta Mathematicae Applicatae Sinica,1998,14(3):333-336. 被引量：1
5Niu Chengying (School of Statistics, Lanzhou University of Finance and Economics, Lanzhou 730020) Chen Xiaoxing (College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350002).ON THE EXISTENCE AND UNIQUENESS OF ALMOST PERIODIC SOLUTIONS TO DISCRETE TWO-SPECIES COMPETITIVE SYSTEMS[J].Annals of Differential Equations,2008,24(3):306-316.
6史金麟.FORCED ALMOST PERIODIC OSCILLATION OF SECOND ORDER NONLINEAR EQUATION[J].Annals of Differential Equations,2001,17(3):232-241. 被引量：3
7Penghua Hong, Peixuan Weng (School of Math., South China Normal University, Guangzhou 510631).EXISTENCE AND GLOBAL ATTRACTIVITY OF ALMOST PERIODIC SOLUTION TO A DELAYED DIFFERENTIAL EQUATION[J].Annals of Differential Equations,2011,27(2):138-144. 被引量：2
8阮建成.LIMIT SETS OF A CLASS OF FOUR-DIMENSIONAL COMPETITIVE SYSTEMS[J].Annals of Differential Equations,1994,10(1):52-60.
9Xidong Sun,Baifeng Liu,Yuliang Han(College of Math.and Information Sciences,Shandong Institute of Business and Technology,Yantai 264005,Shandong).ASYMPTOTICALLY MEAN ALMOST PERIODIC SOLUTIONS TO RANDOM DIFFERENCE EQUATIONS[J].Annals of Differential Equations,2012,28(3):332-337.
10李铁成,黄文灶.Birkhoff's conjecture and almost periodic motions on torus T^2[J].Science China Mathematics,1997,40(3):279-284.

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