Simulasi Sistem Dinamik Model Matematika Kasus Kecanduan Bermain Gadget Bagi Anak Usia Dini dengan Faktor Pengawasan Orang Tua

Muhammad Isbar Pratama(1*), Angri Lismayani(2),

(1) Universitas Negeri Makassar
(2) Universitas Negeri Makassar
(*) Corresponding Author




DOI: https://doi.org/10.35580/jmathcos.v6i2.53888

Abstract


Penelitian ini bertujuan untuk membangun model matematika untuk menggambarkan perubahan tingkat kecanduan bermain gadget pada anak usia dini tipe SEAR (Susceptible – Exposed - Addicted – Recovered). Model matematika yang telah dibuat kemudian dianalisis kestabilan modelnya. Setelah kestabilan model dianlisis, dilanjutkan dengan simulasi model menggunakan software Maple 18. Simulasi dilakukan sebanyak 3 kali dengan nilai faktor pengawasan orang tua yang berbeda yaitu 0.0084, 0.5217, dan 0.8214. Hasil simulasi menunjukkan semakin tinggi angka pengawasan orang tua maka angka kasus kecanduan bermain gadget bagi anak usia dini lebih cepat menurun.

Kata Kunci: Gadget, Model Matematika SEAR, anak usia dini, pengawasan orang tua

 This research aims to develop a mathematical model to depict the changes in the level of gadget addiction in early childhood of the SEAR type (Susceptible - Exposed - Addicted - Recovered). The mathematical model created is then analyzed for its stability. After the stability analysis, the model is further subjected to simulation using Maple 18 software. The simulation is performed three times with different values of parental supervision factors, namely 0.0084, 0.5217, and 0.8214. The simulation results indicate that the higher the level of parental supervision, the faster the cases of gadget addiction in early childhood decline.

Keywords: Gadget, SEAR Mathematical Model, Early Childhood, Parental Supervision"


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