Controllability of a Model On Deforestation Due to Human Population and its Effect on Farm Fields

Abstract

In this paper, we propose a mathematical model on deforestation due to human population using a system of stochastic difference equations. Then we include the control variable to the system of difference equations. First, we analyze the controllability of the proposed model. We can see that the desired objective can be achieved by manipulating the chosen control variables. And then we analyze that the model is controllable at the origin.

Mathematical Modelling of Deforestation Due to Population Density and Industrialization

“…The increase in population and industrialization caused pressure and decreased forest resources (Sebastian and Victor, 2017). This condition will disturb the existence and sustainability of the forest.…”