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Periodic solutions for a two-species nonautonomous competition system with diffusion and impulses

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  • Dong, Lingzhen
  • Chen, Lansun
  • Shi, Peilin

Abstract

By re-estimating the upper bound of ∫0ωeui(t)dt (i=1,2), we generalize a result about the existence of a positive periodic solution for a two-species nonautonomous patchy competition system with time delay. Based on that system, we consider the impulsive harvesting and stocking, and establish a two-species nonautonomous competition Lotka–Volterra system with diffusion and impulsive effects. With the continuation theorem of coincidence degree theory, we obtain the existence of a positive periodic solution for such a system. At last, two examples are given to demonstrate our results.

Suggested Citation

  • Dong, Lingzhen & Chen, Lansun & Shi, Peilin, 2007. "Periodic solutions for a two-species nonautonomous competition system with diffusion and impulses," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1916-1926.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:5:p:1916-1926
    DOI: 10.1016/j.chaos.2006.01.003
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    References listed on IDEAS

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    1. Zhang, Shuwen & Tan, Dejun & Chen, Lansun, 2005. "The periodic n-species Gilpin–Ayala competition system with impulsive effect," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 507-517.
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    Cited by:

    1. Wen, Sun & Chen, Shihua & Mei, Huihai, 2009. "Positive periodic solution of a more realistic three-species Lotka-Volterra model with delay and density regulation," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2340-2348.
    2. Cai, Liming & Li, Xuezhi & Yu, Jingyuan & Zhu, Guangtian, 2009. "Dynamics of a nonautonomous predator–prey dispersion–delay system with Beddington–DeAngelis functional response," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 2064-2075.

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