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Dynamic behaviour of a periodic competitive system with pulses

Abstract Related Papers Cited by
  • In this article we consider an $n$-dimensional competitive Lotka-Volterra system with periodic coefficients and impulses. We provide sufficient conditions for the existence and global attractivity of a positive periodic solution.
    Mathematics Subject Classification: 34A37.

    Citation:

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  • [1]

    S. Ahmad and I. M.Stamova, Asymptotic stability of an N-dimensional impulsive competitive system, Nonlinear Anal. Real World Appl., 8 (2007), 654-663.doi: 10.1016/j.nonrwa.2006.02.004.

    [2]

    S. Ahmad and A. C. Lazer, Average growth and extinction in a competitive Lotka-Volterra system, Nonlinear Anal., 62 (2005), 545-557.doi: 10.1016/j.na.2005.03.069.

    [3]

    S. Ahmad and A. C. Lazer, Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system, Nonlinear Anal., 40 (2000), 37-49.doi: 10.1016/S0362-546X(00)85003-8.

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    D. D. Bainov and P. S. Simeonov, "Systems with Impulse Effect," Elles Horwood Limited, Chichester, 1989

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    D. D. Bainov and P. S. Simeonov, "Impulsive Differential Equations: Periodic Solutions and Applications," Longmann Scientific and Technical, New York, 1993.

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    B. Lisena, Stability and periodicity in competitive systems with impulses, Mediterr. J. Math., 6 (2009), 291-302.doi: 10.1007/s00009-009-0009-4.

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    B. Lisena, Coexistence and extinction in competitive systems with impulses, Dyn. Contin. Discrete Impuls. Syst. Ser. A, 17 (2010), 619-637.

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    B. Lisena, Global stability in periodic competitive systems, Nonlinear Anal. Real World Appl., 5 (2004), 613-627.doi: 10.1016/j.nonrwa.2004.01.002.

    [9]

    B. Liu, Z. Teng and W. Liu, Dynamic behaviors of the periodic Lotka-Volterra competing systems with impulsive perturbations, Chaos Solitons Fractals, 31 (2007), 356-370.doi: 10.1016/j.chaos.2005.09.059.

    [10]

    I. Stamova, "Stability Analysis of Impulsive Functional Differential Equations," Walter de Gruyter, Berlin, New York, 2009.doi: 10.1515/9783110221824.

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    J. Zhen, M. Han and G. Li, The persistence in a Lotka-Volterra competition system with impulsive, Chaos Solitons Fractals, 24 (2005), 1105-1117.doi: 10.1016/j.chaos.2004.09.065.

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