In this paper, a vegetation model with spatial diffusion is investigated. By linear analysis, we give the critical values of the wavenumber of the emerging patterns. Moreover, through a detailed analysis in two spatial dimensions, the pattern formation mechanisms of steady state patterns are obtained dependent on the quantity of rainfall. The mechanisms of pattern formation suggest that rainfall plays an important role in the formation of vegetation.
['Tao Guo', 'Qiulin Tan', 'Jijun Xiong']
Analysis of spatial patterns in a vegetation model