Global Stability of a Lotka-Volterra Competition-Diffusion-Advection System with Different Positive Diffusion Distributions

In this paper, the problem of a Lotka–Volterra competition–diffusion–advection system between two competing biological organisms in a spatially heterogeneous environments is investigated. When two biological organisms are competing for different fundamental resources, and their advection and diffusi...

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Published in:Axioms 2021-09, Vol.10 (3), p.166
Main Authors: Chen, Lili, Lin, Shilei, Zhao, Yanfeng
Format: Article
Language:English
Subjects:
Advection
Competition
competition-diffusion-advection
Diffusion
global stability
Hypotheses
Organisms
spatially heterogeneous
Stability
steady-state solution
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Zhao, Yanfeng
description In this paper, the problem of a Lotka–Volterra competition–diffusion–advection system between two competing biological organisms in a spatially heterogeneous environments is investigated. When two biological organisms are competing for different fundamental resources, and their advection and diffusion strategies follow different positive diffusion distributions, the functions of specific competition ability are variable. By virtue of the Lyapunov functional method, we discuss the global stability of a non-homogeneous steady-state. Furthermore, the global stability result is also obtained when one of the two organisms has no diffusion ability and is not affected by advection.
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subjects Advection
Competition
competition-diffusion-advection
Diffusion
global stability
Hypotheses
Organisms
spatially heterogeneous
Stability
steady-state solution
title Global Stability of a Lotka-Volterra Competition-Diffusion-Advection System with Different Positive Diffusion Distributions
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