TY  - JOUR
ID  - Benhadri2020
LB  - Benhadri2020
AU  - Benhadri, Mimia
AU  - Caraballo, Tomás
AU  - Zeghdoudi, Halim
TI  - Existence of periodic positive solutions to nonlinear Lotka-Volterra competition systems
ST  - Existence of periodic positive solutions to nonlinear Lotka-Volterra competition systems
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2020
VL  - 40
IS  - 3
SP  - 341
EP  - 360
DO  - https://doi.org/10.7494/OpMath.2020.40.3.341
UR  - https://doi.org/10.7494/OpMath.2020.40.3.341
AB  - 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.
KW  - Krasnoselskii's fixed point theorem
KW  - positive periodic solutions
KW  - Lotka-Volterra competition systems
KW  - variable delays
SN  - 1232-9274
ER  -