Acta Mathematica Vietnamica

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Global attractivity of almost periodic solutions for competitive Lotka–Volterra diffusion system
Ahmadjan Muhammadhaji, Zhidong Teng, Mehbuba Rehim

 

Abstract

In this paper, two competitive Lotka–Volterra populations in the two-patch-system with diffusion are considered. Each of the two species can diffuse independently and discretely between its intrapatch and interpatch. By means of a Lyapunov function, under a moderate condition, the system has a unique almost periodic solution, which is asymptotically stable and globally attractive.

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