Global Directed Dynamic Behaviors of a Lotka-Volterra Competition-Diffusion-Advection System

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;    principal eigenvalue;    dynamic behaviors;    global asymptotic stability;   

DOI  :  10.3390/axioms10030195

来源: DOAJ

【 摘 要 】

This paper investigates the problem of the global directed dynamic behaviors of a Lotka-Volterra competition-diffusion-advection system between two organisms in heterogeneous environments. The two organisms not only compete for different basic resources, but also the advection and diffusion strategies follow the dispersal towards a positive distribution. By virtue of the principal eigenvalue theory, the linear stability of the co-existing steady state is established. Furthermore, the classification of dynamical behaviors is shown by utilizing the monotone dynamical system theory. This work can be seen as a further development of a competition-diffusion system.

【 授权许可】

Unknown