PEAR MATHEMATICAL MODEL ON ONLINE GAME ADDICTION

Nur Mila Damani; Henry W. M. Patty; Yopi Andry Lesnussa

doi:10.21831/jsd.v13i1.70690

PEAR MATHEMATICAL MODEL ON ONLINE GAME ADDICTION

Nur Mila Damani, Universitas Pattimura, Indonesia
Henry W. M. Patty, Universitas Pattimura, Indonesia
Yopi Andry Lesnussa, Universitas Pattimura, Indonesia

10.21831/jsd.v13i1.70690

Abstract

Online game addiction is a mental disorder seen from the urge to play online games to forget time and even ignore other activities and responsibilities such as work and school assignments. This research discusses the PEAR mathematical model of online game addiction. This research aims to construct, analyze the equilibrium point and simulate the PEAR model of online game addiction. From the research results, the construction of the PEAR mathematical model has been obtained. The results of the equilibrium point analysis and stability found two equilibrium points, namely the addiction-free equilibrium point and the endemic equilibrium point. Based on the results of analysis and numerical simulation of the PEAR mathematical model of online game addiction using Python software, it is obtained that the Potential sub-population has decreased in the 5th month, the Exposed sub-population decreased in the 10th month, the Recovered sub-population has increased individuals from the Exposed sub-population so that there is an increase in individuals until the 2nd month. However, there was a decreased number of individuals until the 10th month, and all Addicted sub-populations entered the Recovered sub-population in the 12th month, so this sub-population has increased

Keywords

Online Game Addiction; PEAR Model; Equilibrium Point

References

D. I. Madrasah and I. Ma, “Intensitas Bermain Game Online oleh Siswa Berprestasi Kelas V dan VI Skripsi [Intensity of Playing Online Games By Students With Grades V And VI Resolution Diajukan kepada Institut Agama Islam Negeri Jember untuk memenuhi salah satu persyaratan memperoleh gelar Sarjana Sosial ( S . Sos ) Fakultas Dakwah Program Studi Komunikasi dan ,” 2021.

T. A. Putro and N. Nurjanah, “Perilaku Adiksi Pada Pemain Game Online di Dinustech Semarang dan Dampaknya Terhadap Kesehatan,” [Addiction Behavior in Online Game Players at Dinustech Semarang and Its Impact on Health] Visikes, vol. 12, no. 2, pp. 141–146, 2013.

E. Novrialdy, F. I. Pendidikan, and U. N. Padang, “Kecanduan Game Online pada Remaja : Dampak dan Pencegahannya Online Game Addiction in Adolescents : Impacts and its Preventions,” [Online Game Addiction in Adolescents: Impacts and its Preventions Online Game Addiction in Adolescents: Impacts and its Preventions] 2019, doi: 10.22146/buletinpsikologi.47402.

S. Side, A. Zaki, and N. Rahmasari, “Model Matematika SEIR Pada Kanker Kulit Akibat Paparan Sinar Ultraviolet Di Provinsi Sulawesi Selatan,” [SEIR Mathematical Model on Skin Cancer Due to Ultraviolet Light Exposure in South Sulawesi Province] vol. 4, no. 2, pp. 76–87, 2021.

S. Indonesia, “Pemecahan masalah melalui pemodelan matematika dalam aplikasi kalkulus integral Lusiana 1 Dosen PNSD pada FKIP Universitas PGRI Palembang,” [Problem solving through mathematical modeling in integral calculus applications Lusiana 1 PNSD lecturer at FKIP PGRI University Palembang] no. November, pp. 1–9, 2019.

P. Sir, U. Penyebaran, P. Pertusis, V. Pada, and P. Manusia, “Pemodelan SIR untuk penyebaran Penyakit Pertusis dengan Vaksinasi pada populasi Manusia Konstan,” [SIR modeling for the spread of Pertussis disease with vaccination in a constant human population] Unnes J. Math., vol. 7, no. 1, pp. 96–107, 2018.

A. Agus, R. Rahmawati, and F. Fardinah, “Model Epidemi SIR Pengguna/Pemain Mobile Games pada Mahasiswa Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Sulawesi Barat,” [SIR Epidemic Model of Mobile Games Users / Players in Students of the Faculty of Mathematics and Natural Sciences, University of West Sulawesi] J. Math. Theory Appl., vol. 2, no. 2, pp. 46–53, 2021, doi: 10.31605/jomta.v2i2.1185.

Y. Prastyo, P. Eosina, and F. Fatimah, “Pembagian Tingkat Kecanduan Game Online Menggunakan K-Means Clustering Serta Korelasinya,” [Division Of Online Game Addiction Levels Using K-Means Clustering And Its Correlations] 2010.

J. P. Pendidikan, “Ketergantungan online game dan penanganannya,” [Online game dependence and its treatment] vol. 1, pp. 84–92, 2015.

T. Li and Y. Guo, “Stability and optimal control in a mathematical model of online game addiction,” [Stability and optimal control in a mathematical model of online game addiction] Filomat, vol. 33, no. 17, pp. 5691–5711, 2019, doi: 10.2298/FIL1917691L.

DOI: https://doi.org/10.21831/jsd.v13i1.70690