TY - JOUR AU - Didiharyono Didiharyono AU - Irwan Kasse PY - 2021/11/10 Y2 - 2025/04/19 TI - Mathematical Modelling of Deforestation Due to Population Density and Industrialization JF - Jurnal Varian JA - Varian VL - 5 IS - 1 SE - Articles DO - https://doi.org/10.30812/varian.v5i1.1412 UR - https://journal.universitasbumigora.ac.id/index.php/Varian/article/view/1412 AB - The focus of the study in this paper is to model deforestation due to population density and industrialization. To begin with, it is formulated into a mathematical modelling which is a system of non-linear differential equations. Then, analyze the stability of the system based on the Routh-Hurwitz stability criteria. Furthermore, a numerical simulation is performed to determine the shift of a system. The results of the analysis to shown that there are seven non-negative equilibrium points, which in general consist equilibrium point of disturbance-free and equilibrium points of disturbances. Equilibrium point TE7(x, y, z) analyzed to shown asymptotically stable conditions based on the Routh-Hurwitz stability criteria. The numerical simulation results show that if the stability conditions of a system have been met, the system movement always occurs around the equilibrium point. ER -