Hacettepe Journal of Mathematics and Statistics 2651-477X 2651-477X Hacettepe University 10.15672/hujms.1315963 Partial Differential Equations Kısmi Diferansiyel Denklemler Extension of the Lotka-Volterra competition model https://orcid.org/0000-0003-0433-4801 Rasouli S.h. Babol Noshirvani University of Technology 10 15 2024 53 5 1401 1407 06 17 2023 11 01 2023 Copyright © 2002, Hacettepe Journal of Mathematics and Statistics 2002 Hacettepe Journal of Mathematics and Statistics

In this paper, we introduce the ($p,q$)-Lotka-Volterra competition model which is extension of classical Lotka-Volterra competition model. The main purpose is to give some results on the existence and non-existence of positive solutions. Upper and lower solutions technique and comparison arguments plays a significant role in our main proof.

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