A STUDY OF DYNAMICAL MODEL ON THE COMPETITIVE RELATIONSHIP BETWEEN SOIL EROSION AND VEGETATION GROWTH IN HUMID REGIONS

摘要

In this study, a new dynamical model is established based on Thomes' model. Then a detailed competitive and interactive relationship between soil erosion process and vegetation growth process is detected in humid regions. By employing the nonlinear dynamical analyses, a globally asymptotically stable equilibrium point is obtained under given parameters. This stable state indicates the vegetation growth process can coexist with soil erosion process. Furthermore, the transitions among different equilibrium states caused by the variation describe the competitive process in diverse environment. The results show that the soil erosion has effect on the formations of vegetation patterns in humid regions.