# Mathematical Modelling of Deforestation Due to Population Density and Industrialization

• Didiharyono Didiharyono Universitas Andi Djemma
• Irwan Kasse UIN Alauddin
Keywords: Mathematical Modelling, Deforestation, Population Density, Industrialization

### Abstract

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.

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Published
2021-11-10
How to Cite
[1]
D. Didiharyono and I. Kasse, “Mathematical Modelling of Deforestation Due to Population Density and Industrialization”, Jurnal Varian, vol. 5, no. 1, pp. 9 - 16, Nov. 2021.
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