Abstract: In recent years, much attention has been payed to desertification in Xinjiang, China ,there are many researches about desertification in different research areas and have achieved significant results, but there are few studies about desertification in differential equation area, especially in China. In this paper the interaction between sandy land and spares vegetation in oasis-desert eco-tone was analyzed and based on the analysis, a mathematical model for predictive desertification was presented and verified using Minfeng oasis as an example .The Runge-Kutta scheme was applied to the model. Dynamic changes of sandy land were conducted using remote sensing technology, and the trend of desertification was predicted with the mathematical model. The result was fairly rational.The model is simple and very useful in predicting and managing desertification.