Abstract:
Soil erosion, by water agent, is understood as a moving process of a certain quantity of soil particles from a soil surface point to another point. The presence of the plants strongly affect the erosion process, the plant stem interact with the water motion and the roots modify the physico-chemical properties of the soil. To take into account the plant effect we build a model by coupling the Saint-Venant type equations for water dynamics with a Hairsine-Rose type model for soil erosion. In this talk we analyse, analytically and numerically, the sensibility of the model with respect to the plant parameters.