Models for the effect of high speed wind on the depletion of fertile topsoil

Abstract

In this paper a mathematical model is proposed and analyzed to study the effect of high speed wind on the depletion of fertile topsoil depth and crop yield. The system is modeled by considering a Cobb-Douglas production function which depends on depreciating capital stock, a labor force and depth of fertile topsoil. A model to conserve the depth of fertile topsoil and to control the high speed wind is also presented.