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

Axioms

Shilei Lin¹  Yanfeng Zhao¹  Lili Chen¹ 

[1] College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China;

关键词: competition-diffusion-advection;    steady-state solution;    spatially heterogeneous;    global stability;   

DOI  :  10.3390/axioms10030166

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown