沙漠——植被模型解的相关性质

Some Properties of Solution of Desertation-Vegetation Models

针对两类沙漠——植被模型,运用数学分析、数值模拟研究模型方程解的相关性质.探讨在降水值呈现周期性变化、大于(或小于)植被在缺水状况下的死亡速率时,所研究的区域呈现植被态或沙漠态的条件及其解的稳定性、渐近守恒性.

In this paper,we mainly study the related properties of the solution of the two kinds of desertation and vegetation models by using mathematical analysis and numerical simulation.When the precipitation changes periodically,greater than or less than the rate at which vegetation dies under conditions of water scarcity,the studied area would present vegetation state or desert state periodically.In addition,we analyse the stability of the nonnegative equilibrium solution of the model,and provide the numerical experiments to illustrate the stability of the desertation and vegetation model.