Extension of the Lotka-Volterra competition model

Abstract

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.

Keywords

• Lotka-Volterra competition model
• (p,q)-Laplacian
• upper and lower solutions

References

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