supported by the National Natural Science Foundation of P.R.China(60764003);The Major Project of The Ministry of Education of P.R. China (207130);The Scientific Research Programmes of Colleges in Xinjiang (XJEDU2007G01, XJEDU2006I05)
general almost periodic n-species Kolmogorov type competitive systems with feedback controls are studied.By applying Schauder's fixed point theorem
Ascoli-Arzela theorem and the theory of almost periodic differential equations
a new criterion on the existence of positive almost periodic solutions is obtained.
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references
Tineo A,Alvarez C.A different consideration about the globally asymptotically stable solution of the periodic n competing species problem[J].J Math Anal Appl,1991,159:44-50.
Chen F D.Positive periodic solutions of neutral Lotka-Volterra system with feedback control[J].Appl Math Comput, 2005,162:1279-1302.
Huo H,Li W.Positive periodic solutions of a class of delay differential system with feedback control[J].Appl Math Comput,2004,148:35-46.
Teng Z D.Permanence and stability of Lotka-Volterra Type N-Species Competitive Systems[J].Acta Math Sinc,2002, 45:905-918.
Chen F D.The permanence and global attractivity of Lotka-Volterra competition system with feedback controls[J]. Nonlinear Analysis:Real World Application,2006,7:133-143.
Ahmad S.On almost periodic solution of the competing species problem[J].Proc Amer Math Soc,1988,102:855-861.
He C Y.On almost periodic slution of Lotka-Volterra almost periodic competition systems[J].Ann Diff Eqs,1993,9: 26-36.
Wang C Z,Shi J l.Positive almost periodic solutions of a class of Lotka-Volterra type competitive system with delays and feedback controls[J].Appl Math Comput,doi:10.1016/j.amc.2007.03.048.
Teng Z D.On the positive almost periodic solution of a class of lotka-volterra type systems with delays[J].J Math Anal Appl,2000,249:433-444.
Teng Z D.The almost periodic Kolmogorov competitive systems[J].Nonlinear Analysis,2002,42:1221-1230.
Chen F D.On the periodic solutions of periodic multi-species Kolmogorov type competitive system with delays and feedback controls[J].Appl Math Comput,2006,180:366-373.