Existence of periodic positive solutions to nonlinear Lotka-Volterra competition systems

Opuscula Mathematica

article

Mimia Benhadri¹  Tomás Caraballo (corresponding author)²  Halim Zeghdoudi³ 

[1] LAMAHIS Lab, Faculty of Sciences, Department of Mathematics, University of Skikda;Departamento de Ecuaciones Difererenciales y Análisis Numérico, Universidad de Sevilla;LaPS Laboratory, Badji-Mokhtar University

关键词: Krasnoselskii's fixed point theorem;    positive periodic solutions;    Lotka-Volterra competition systems;    variable delays.;   

DOI  :  10.7494/OpMath.2020.40.3.341

学科分类：环境科学（综合）

来源: AGH University of Science and Technology Press

【 摘 要 】

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.

【 授权许可】

CC BY-NC