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This study develops a nonlinear spatiotemporal dynamic model of vegetation growth and soil erosion.Involving the spatial scale,the new model can be employed to study the formation of vegetation patterns on hillslopes due to the interactions between vegetation growth and runoff erosion.Stability analysis establishes conditions for the occurrence of vegetation patterns of the vegetation-erosion system.With parameter values selected according to the conditions,the self-organization of banded vegetation patterns on hillslopes is simulated.As parameter values change,possible transitions among states of no vegetation,pattern vegetation and homogeneous vegetation may take place.The simulated vegetation patterns can help to better comprehend how the interactive mechanisms of the ecological and geomorphic processes in the degraded ecosystem lead to spatially heterogeneous distribution of vegetation.