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The persistence in a Lotka–Volterra competition systems with impulsive

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  • Jin, Zhen
  • Maoan, Han
  • Guihua, Li

Abstract

In this paper, a nonautonomous two-dimensional competitive Lotka–Volterra system with impulsive is considered. we study the persistence and extinction, giving two inequalities involving averages of the growth rates and impulsive value, which guarantees persistence of the system. An extension of the principle of competition exclusion is obtained in this paper. Moreover, several examples are also worked out, they show that the impulsive can change the persistence of the system.

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  • Jin, Zhen & Maoan, Han & Guihua, Li, 2005. "The persistence in a Lotka–Volterra competition systems with impulsive," Chaos, Solitons & Fractals, Elsevier, vol. 24(4), pages 1105-1117.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:4:p:1105-1117
    DOI: 10.1016/j.chaos.2004.09.065
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    Cited by:

    1. Wang, Weiming & Wang, Xiaoqin & Lin, Yezhi, 2008. "Complicated dynamics of a predator–prey system with Watt-type functional response and impulsive control strategy," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1427-1441.
    2. Kang, Li & Tang, Sanyi, 2016. "The reverse effects of random perturbation on discrete systems for single and multiple population models," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 198-209.

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