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...

Full description

Saved in:
Bibliographic Details
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
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms10030166