@Article{Benhadri2020,
author = "Benhadri, Mimia and Caraballo, Tomás and Zeghdoudi, Halim",
title = "Existence of periodic positive solutions to nonlinear Lotka-Volterra competition systems",
journal = "Opuscula Math.",
year = "2020",
volume = "40",
number = "3",
pages = "341--360",
doi = "https://doi.org/10.7494/OpMath.2020.40.3.341",
url = "https://doi.org/10.7494/OpMath.2020.40.3.341",
abstract = "We investigate the existence of positive periodic solutions of a nonlinear Lotka-Volterra competition system with deviating arguments. The main tool we use to obtain our result is the Krasnoselskii fixed point theorem. In particular, this paper improves important and interesting work [X.H. Tang, X. Zhou, On positive periodic solution of Lotka-Volterra competition systems with deviating arguments, Proc. Amer. Math. Soc. 134 (2006), 2967-2974]. Moreover, as an application, we also exhibit some special cases of the system, which have been studied extensively in the literature.",
keywords = "Krasnoselskii's fixed point theorem, positive periodic solutions, Lotka-Volterra competition systems, variable delays",
issn = "1232-9274"
}