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.