Global stability of nonhomogeneous steady-state solution in a Lotka–Volterra competition–diffusion–advection model. (September 2020)

• Record Type: Journal Article
• Authors: Li, Zhenzhen; Dai, Binxiang; Dong, Xinshan
• Is Part Of: Applied mathematics letters. Volume 107(2020)
• Publication Date: 2020-09
• Subjects: Competition–diffusion–advection -- Lyapunov functional method -- Global stability; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2020.106480
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: A classical two species Lotka–Volterra competition–diffusion–advection model is considered in this paper, where the diffusion coefficients, advection coefficients, resource functions and competition rates are all spatially heterogeneous. The global stability of nonhomogeneous steady states in the advective heterogeneous environment is studied by introducing a weighted Lyapunov functional associated with advection term.