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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In this article, discussed about the factors that influence individual taxpayer compliance to pay vehicles tax such as motorcycle, car, and truck. The growth in the number of vehicles increasing rapidly, related to what is a problem in paying vehicles tax. There are several reasons, including taxpayer compliance to pay vehicles tax. In this article, there are 18 measurement indicators that influencing of this object. These measurement indicators then grouped into several factors using Eksploratory Factor Analysis (EFA). The results showed that there were five factors that influenced taxpayer compliance to pay vehicles tax. The first factor is service quality, the second factor is spatial planning and tax administration, the third factor is tax socialization, the fourth factor is knowledge and understanding of taxation, and the fifth factor is education.

This research conducted discusses the crime rate in South Sulawesi Province. There are several main factors that can lead to crime, especially in South Sulawesi Province. This research was conducted to see the Spatial Seemingly Unrealated Regression SUR) model at the crime rate in South Sulawesi Province, but there are assumptions that do not meet the SUR Spatial Analysis, so the model obtained is limited to the Spatial Autoregressive (SAR) and Spatial Eror Model (SEM). The SAR model obtained shows that the population, the number of poor people, and the GDP per capita have a positive and significant effect on the risk of the population being affected by crime. The SEM model obtained shows a positive and significant effect between the population, the number of unemployed has a negative and significant effect on the risk of the population being exposed to crime. ABSTRAK, Penelitian yang dilaksanakan ini membahas tentang tingkat kasus kriminalitas di Provinsi Sulawesi Selatan. Terdapat beberapa faktor utama yang dapat menimbulkan tindak kriminalitas khususnya di Provinsi Sulawesi Selatan. Penelitian ini dilaksanakan untuk mengetahui model Seemingly Unrealated Regression (SUR) Spasial pada tingkat kasus kriminalitas di Provinsi Sulawesi, namun terdapat beberapa asumsi yang tidak memenuhi untuk analisis SUR Spasial maka model yang diperoleh hanya terbatas pada model Spatial Autoregresive (SAR) dan Spatial Error Model (SEM). Model SAR yang diperoleh menunjukkan kepadatan penduduk, jumlah penduduk miskin, dan PDRB Perkapita berpengaruh positif dan signifikan terhadap resiko penduduk terkena kriminalitas. Model SEM yang diperoleh menunjukkan pengaruh positif dan signifikan antara kepadatan penduduk, jumlah penduduk miskin, PDRB perkapita terhadap resiko penduduk terkena kriminalitas, dan jumlah pengangguran berpengaruh negatif dan signifikan terhadap resiko penduduk terkena kriminalitas.