Modeling and analysis of a resource population due to increase in industrialization

Abstract

In this paper, a non-linear mathematical model is proposed and analyzed to study the effect of rapid increase in industrialization produced by the human species affecting its own living resources and depleting the environment. It is shown that if the rate of industrialization increases, the density of the biological species settles down to a lower equilibrium than its original carrying capacity and its magnitude decreases as the equilibrium level of concentration of it increases. It may be noted that for very large increase in this field of development, the survival of the biological species is threatened.