A Maple program to the Analysis of Equilibrium Points in Social Media Addiction Model

In today's world, the relationship between social media and the internet is becoming increasingly important. Therefore, there is a need to determine the level of social media addiction. In addition to expressing social media addiction mathematically, equilibrium point analyzes of such equation systems also illuminate the extent and impact of addiction. This study focuses on such a model. Discretization of the model was achieved using the non-standard finite difference method. Equilibrium points were identified and analyzed using the Maple software package. In addition, Maple working codes are also given in the article, contributing to the literature in this field.

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Publication Details

Journal
Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Published
2025-03-26
DOI
https://doi.org/10.18185/erzifbed.1514507
Primary Topic
Mathematical and Theoretical Epidemiology and Ecology Models
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article
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article

A Maple program to the Analysis of Equilibrium Points in Social Media Addiction Model

Mehmet KOCABIYIK
Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Mathematical and Theoretical Epidemiology and Ecology Models
article

A Maple program to the Analysis of Equilibrium Points in Social Media Addiction Model

Mehmet KOCABIYIK
article en

Abstract

In today's world, the relationship between social media and the internet is becoming increasingly important. Therefore, there is a need to determine the level of social media addiction. In addition to expressing social media addiction mathematically, equilibrium point analyzes of such equation systems also illuminate the extent and impact of addiction. This study focuses on such a model. Discretization of the model was achieved using the non-standard finite difference method. Equilibrium points were identified and analyzed using the Maple software package. In addition, Maple working codes are also given in the article, contributing to the literature in this field.

Erzincan Üniversitesi Fen Bilimleri Enstitüsü DergisiVol. 18(1)
Burdur Mehmet Akif Ersoy Üniversitesi (TR)
Openalex Percentile: Top 92%
Mathematical and Theoretical Epidemiology and Ecology Models
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