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Self-organised patterns of vegetation are a characteristic feature of semi-deserts. In this paper, we find the internal competition reaction between plants can lead to the formation of spatial vegetation patterns, which is different from the normal formation mechanism of long-range competition and short-range facilitation. It is also found that the internal competition between biomass has an effect on the characters of banded vegetation. In particular, it is shown that the internal competition reaction leads to the decrease of the migration speed and the increase of the wavelength of the stripe patterns. (C) 2018 Elsevier Ltd. All rights reserved.