Dynamics on the interactions between vegetable growth and water erosion

This research investigates the interaction between vegetation growth and water erosion by a new dynamic model. According to the theoretical and numerical analysis of the research, there are three cases of equilibrium distribution and their dynamics over time. And the dynamics between vegetation and erosion is disparate under the condition of different parameters. Every equilibrium point also has a unique distribution under every set of parameters. When there are two interior equilibriums, a critical curve exists and divides the system into two areas, one is coexistence area and another is dominated by vegetation or erosion.