Mathematical Modelling of Deforestation Due to Population Density and 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.

Application of homotopy perturbation method to solve a nonlinear mathematical model of depletion of forest resources

“…Nugraheni et al [5] proposed stability analysis and numerical simulations for a mangrove forest resource dynamical model. Didiharyono and Kasse [6] studied the stability of a mathematical model for deforestation and presented numerical simulations of the system. All these studies offer useful insights into the dynamics of forest resources and propose possible solutions to handle this critical global problem.…”

Changes in Rainfall Intensity, Rising Air Temperature, Wind Speed, and Its Relationship with Land Use in Makassar City

“…Anthropogenic factors are thought to be the main cause of climate change (Haryanto, 2018). Rapid development in the economy and industry has a serious impact on climate change, such as the consumption of fossil energy, the number of motorized vehicles, and deforestation for land clearing (Didiharyono & Kasse, 2021). Although the phenomenon of climate change is a global phenomenon, its impact can be felt locally where climate change in Indonesia greatly affects many aspects of life including the economy, the poor, human health, and environmental conditions (Oktaviani et al, 2011).…”