Penelitian ini membahas model matematika SEIR kecanduan game online. Data yang digunakan adalah data primer berupa jumlah siswa SMP Negeri 3 Makassar yang kecanduan game online yang diperoleh dengan cara membagikan angket kepada siswa. Penelitian ini dimulai dari membangun model SEIR kecanduan game online, menentukan titik keseimbangan, menganalisis kestabilan titik keseimbangan, menentukan nilai bilangan reproduksi dasar ( 𝑅0) , melakukan simulasi model menggunakan software Maple, dan menginterpretasikan hasil simulasi. Dalam artikel ini diperoleh model matematika SEIR kecanduan game online; dua titik keseimbangan, yaitu titik keseimbangan bebas kecanduan dan titik keseimbangan kecanduan; kestabilan titik keseimbangan bebas kecanduan dan kecanduan; serta bilangan reproduksi dasar 𝑅0 = 0,089 yang menunjukkan bahwa tidak terjadi penularan kecanduan dari satu individu ke individu lain.Kata kunci: Model Matematika, Kecanduan Game Online, Model SEIR. This research discuss a SEIR mathematical model of online game addiction. The data used is primary data of the number of students in Junior High School 3 Makassar who are addicted to online game which obtained by share the questionnaires to students. This research starts from constructing a SEIR model of online game addiction, determining the equilibrium point, analysing the stability of equilibrium point, determining the basic reproduction number (𝑅0), doing a simulation of model using Maple, and interpreting the result of the simulation. In this paper we obtained a SEIR mathematical model of online game addiction; two equilibrium points which are addiction free and addiction equilibrium point; the stability of addiction free and addiction equilibrium; and the basic reproduction value𝑅0 = 0,089 indicates that there is no transmission of addiction from one individual to another.Keywords: Mathematical Model, Game Online Addiction, SEIR Model
Extreme weather events have become more frequent due to climate change, and extreme rainfall is a common occurrence in the tropical monsoon areas. Makassar City was chosen as a representative area of the tropical monsoon climate. The objective of this research is to utilize the generalized Pareto distribution (GPD), along with its nested model (exponential), to predict the monthly return levels of extreme rainfall in the designated geographical region. The study utilized daily precipitation data from January 1980 to December 2022. To determine the monthly daily rainfall data that exceeds a certain threshold, the peaks over threshold (POT) method was applied. The result discovered that the exponential distribution is the most appropriate for extreme rainfall series in most months, except for February and July, where the GPD is more appropriate. No trends or seasonal patterns were identified in any of the months. The calculated return levels of extreme rainfall for each month at the 2, 3, 5, and 10-year return periods indicate that February has the highest rainfall return level for all selected return periods compared to other months with December and January following closely behind. These findings are expected to assist the government in developing flood prevention strategies and mitigating their effects, particularly during the rainy season's peak months in the city, which are December to February.
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