@article{Fang2022, 
author = {Lini Fang and N'gbo N'gbo and Yonghui Xia},
title = {Almost periodic solutions of a discrete Lotka-Volterra model via exponential dichotomy theory},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {3},
pages = {3788-3801},
keywords = {almost periodic solution, difference exponential dichotomy, Banach fixed point, discrete Lotka-Volterra model, exponential convergence},
url = {https://www.sciopen.com/article/10.3934/math.2022210},
doi = {10.3934/math.2022210},
abstract = {In this paper, we consider a discrete non-autonomous Lotka-Volterra model. Under some assumptions, we prove the existence of positive almost periodic solutions. Our analysis relies on the exponential dichotomy for the difference equations and the Banach fixed point theorem. Furthermore, by constructing a Lyapunov function, the exponential convergence is proved. Finally, a numerical example illustrates the effectiveness of the results.}
}