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https://doi.org/10.1016/j.aml.2010.10.026

has been cited by the following article:

• TITLE: The Dynamics of an Impulsive Competitive System with Infinite Delay and Diffusion

  AUTHORS: Hairu Chen, Yuanfu Shao

  KEYWORDS: Diffusion, Infinite Delay, Permanence, Extinction, Attractive

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.6, June 28, 2018

  ABSTRACT: In this paper, we consider an impulsive competitive system with infinite delay and diffusion. Firstly, on basis of inequality estimation techniques and comparison theorem of impulsive differential equations, we obtain some sufficient conditions for the permanence and extinction of the system. Then, we establish sufficient conditions for the globally attractive of the system by constructing appropriate Lyapunov function. Besides, under different impulsive conditions, we discuss the effect of time delay and diffusion on dynamic behavior of the competitive system.