Pattern formation and qualitative analysis for a vegetation-water model with diffusion

• Published in: Nonlinear analysis: real world applications Vol. 76; p. 104008
• Main Authors: Guo, Gaihui, Wang, Jingjing
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.04.2024
• Subjects: Double eigenvalue; Steady-state bifurcation; Turing instability; Vegetation pattern; Vegetation-water model; Steady-state bifurcation; Vegetation pattern; Turing instability; Vegetation-water model; Double eigenvalue

In this paper, a diffusive vegetation-water model under Neumann boundary conditions is considered. Firstly, the stability and the diffusion-induced Turing instability are studied. Then, some a priori estimates of positive steady-state solutions are obtained by the maximum principle. Moreover, the bi...