Global attractivity of a discrete Lotka-Volterra competition system with infinite delays and feedback controls

被引：0
作者：
Daiyong Wu
机构：
[1] Anqing Normal College,Department of Mathematics
来源：
Advances in Difference Equations | / 2013卷
关键词：
competition system; feedback control; discrete; global attractivity;
D O I：
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学科分类号：
摘要：
In this paper, we propose a discrete Lotka-Volterra competition system with infinite delays and feedback controls. Sufficient conditions which ensure the global attractivity of the system are obtained. An example together with its numerical simulation shows the feasibility of the main results.
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[1]  
Ahmad S(1993)On the nonautonomous Lotka-Volterra competition equation Proc. Am. Math. Soc 117 199-204
[2]  
Ahmad S(2005)Average growth and extinction in a Lotka-Volterra system Nonlinear Anal 62 545-557
[3]  
Lazer AC(2000)Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system Nonlinear Anal 40 37-49
[4]  
Ahmad S(2006)On positive periodic solutions of Lotka-Volterra competition systems with deviating arguments Proc. Am. Math. Soc 134 2967-2974
[5]  
Lazer AC(2007)On permanence and global stability in a general Gilpin-Ayala competition predator-prey discrete system Appl. Math. Comput 190 500-509
[6]  
Tang X(2003)Stable periodic solutions in a discrete periodic logistic equation Appl. Math. Lett 16 165-171
[7]  
Zou X(2010)A note on the existence of periodic solution in discrete predator-prey models Appl. Math. Model 34 2477-2483
[8]  
Liao X(2003)Stable periodic solution of a discrete periodic Lotka-Volterra competition system J. Math. Appl 277 358-366
[9]  
Zhou S(2006)Uniform persistence and periodic solutions for a discrete predator-prey system with delays J. Math. Anal. Appl 316 161-177
[10]  
Chen Y(2011)Permanence and global asymptotical stability of a predator-prey model with mutual interference Nonlinear Anal., Real World Appl 12 1062-1071
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