Global attractivity of almost periodic solutions for competitive Lotka-Volterra diffusion system

2013/03/19 by Ahmadjan Muhammadhaji, Zhidong Teng, Muhammadhaji, Ahmadjan +3
Mathematics · Medicine · #Advanced Differential Equations and Dynamical Systems #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis #math.DS #msc:34D05 #msc:34D23 #msc:34D45 #msc:34K14 #msc:34K20

paper · pdf · doi:10.48550/arxiv.1303.4807

This accepted for publication in Acta Mathematica Vietnamica (AMV), Article ID: AMVI-D-12-00036

arxiv created 2013/03/20 · arxiv updated 2013/03/21

Abstract

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

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