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

被引：19
作者：
Guo, Gaihui [1 ]
Wang, Jingjing [1 ]
机构：
[1] Shaanxi Univ Sci & Technol, Sch Math & Data Sci, Xian 710021, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2024年 / 76卷
基金：
中国国家自然科学基金;
关键词：
Vegetation-water model; Turing instability; Steady-state bifurcation; Double eigenvalue; Vegetation pattern; STABILITY ANALYSIS; BIFURCATION; SYSTEM;
D O I：
10.1016/j.nonrwa.2023.104008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 bifurcations at both simple and double eigenvalues are investigated in detail. Finally, numerical simulations are shown to support and supplement theoretical analysis results. In particular, the evolution processes of vegetation patterns are depicted under different parameters.(c) 2023 Elsevier Ltd. All rights reserved.
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页数：28
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