Land desertification is a major problem facing the world. Therefore
studying vegetation patterns has certain practical significance for preventing and controlling soil desertification. In this paper
based on the existing vegetation pattern model
a new model with cross diffusion term is established
and the stability of non negative constant equilibrium point of ordinary differential equation and partial differential equation corresponding to the model is analyzed. Numerical simulations verified that the model has a certain significance in preventing soil water loss.
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references
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