Bifurcation and stability of a two-species reaction–diffusion–advection competition model

• Published in: Nonlinear analysis: real world applications Vol. 59; p. 103241
• Main Authors: Ma, Li, Guo, Shangjiang
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.06.2021
• Subjects: Biparametric bifurcation; Coexistence solution; Lyapunov–Schmidt reduction; Perturbation theory; Reaction–diffusion–advection; Perturbation theory; Coexistence solution; Reaction–diffusion–advection; Lyapunov–Schmidt reduction; Biparametric bifurcation

This paper is concerned with the dynamics of a two-species reaction–diffusion–advection competition model subject to the no-flux boundary condition in a bounded domain. By the signs of the associated principal eigenvalues, we derive the existence and local stability of the trivial and semi-trivial s...