Pemodelan Kecanduan Mobile Legends Menggunakan Model Seir Pada Mahasiswa
DOI:
https://doi.org/10.30605/proximal.v9i2.8726Keywords:
kecanduan game online, Mobile Legends, model SEIR, pemodelan matematika, simulasi numerikAbstract
Kecanduan game online merupakan salah satu fenomena perilaku digital yang semakin banyak dijumpai pada mahasiswa dan dapat berdampak pada aktivitas akademik, relasi sosial, serta pengendalian diri. Penelitian ini bertujuan membangun dan menganalisis model matematika tipe SEIR untuk menggambarkan dinamika penyebaran kecanduan Mobile Legends: Bang Bang pada mahasiswa Program Studi Pendidikan Matematika Angkatan 2023. Populasi dibagi ke dalam empat kompartemen, yaitu Susceptible (S), Exposed (E), Addicted (A), dan Recovered (R). Data awal yang digunakan berjumlah 146 mahasiswa, terdiri atas 100 individu rentan, 8 individu terpapar, 38 individu kecanduan, dan 0 individu pulih. Analisis dilakukan melalui pembentukan sistem persamaan diferensial, penentuan titik kesetimbangan, analisis kestabilan lokal, perhitungan bilangan reproduksi dasar, dan simulasi numerik menggunakan Maple 2025. Hasil analisis menunjukkan bahwa titik kesetimbangan bebas kecanduan bersifat tidak stabil karena nilai eigen memiliki bagian real positif. Bilangan reproduksi dasar diperoleh sebesar R0=117,65, sehingga R0 >1 dan menunjukkan bahwa kecanduan berpotensi bertahan secara endemik dalam populasi apabila tidak ada intervensi yang memadai. Hasil simulasi memperlihatkan bahwa skenario dengan laju pemulihan tinggi (ε=0,05;θ=0,04) dan laju relaps rendah (λ=0,005) merupakan skenario terbaik, ditandai dengan penurunan kompartemen kecanduan mendekati nol dan peningkatan kompartemen pulih hingga sekitar 40% dalam 50 hari. Novelty penelitian ini terletak pada adaptasi model SEIR berbasis data observasi langsung pada mahasiswa Angkatan 2023 serta analisis empat skenario parameter untuk mengidentifikasi peran pemulihan dan relaps dalam pengendalian kecanduan Mobile Legends. Temuan ini menegaskan pentingnya intervensi kampus yang terstruktur melalui edukasi, konseling, penguatan aktivitas alternatif, dan dukungan sosial berkelanjutan.
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