2026-12-31 SYSTEMS SCIENCE & CONTROL ENGINEERING 2026 14(卷), 1(期), (null页)
This study develops a dimensionless reaction-diffusion model to analyze self-organized vegetation patterns in arid flat environments. The model couples plant biomass, water availability, and soil organic matter (SOM) through ecologically consistent nonlinear feedback interactions and diffusion processes, correcting the one-way coupling defect of the original model. By normalizing parameters and diffusion coefficients, we system-atically explore Turing pattern formation (spotted, stripe, mixed, and labyrinthine structures) and conduct a balanced bifurcation analysis of water input rate () and SOM input rate (). The dimensionless framework facilitates numerical simulation and bifurcation analysis to reveal how water and SOM jointly regulate the stability of vegetation patterns. Our findings provide theoretical insights into the capacity of vegetation to combat desertification in semi-arid ecosystems, with the revised model capturing the realistic mutualism between vegetation and SOM.