Dynamical Analysis of Modified Mathematical Model of Social Media Addiction
In this study, there is no division between addiction in the mild and severe stages. Therefore, it is necessary to divide the stages of addiction because the healing is clearly different. Therefore, in this study, a modified dynamic analysis of the Social Media addiction model is carried out to obta...
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| Format: | Article |
| Language: | English |
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Mathematics Department UIN Maulana Malik Ibrahim Malang
2024-11-01
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| Series: | Cauchy: Jurnal Matematika Murni dan Aplikasi |
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| Online Access: | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/29225 |
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| author | Juhari Juhari Zulfa Akfi Fikrina Evawati Alisah Imam Sujarwo |
| author_facet | Juhari Juhari Zulfa Akfi Fikrina Evawati Alisah Imam Sujarwo |
| author_sort | Juhari Juhari |
| collection | DOAJ |
| description | In this study, there is no division between addiction in the mild and severe stages. Therefore, it is necessary to divide the stages of addiction because the healing is clearly different. Therefore, in this study, a modified dynamic analysis of the Social Media addiction model is carried out to obtain a valid model that can be implemented in real life. This study aims to find the stability of changes in the Addicted variable which is divided into two, namely Social Media addiction in the mild stage and Social Media addiction in the severe stage There are six models that have been modified in this study, namely, individuals who do not have Social Media but are vulnerable to addiction , individuals who have Social Media but are not yet at the addiction stage , individuals infected with Social Media addiction in the mild stage , individuals infected with Social Media addiction in the severe stage , individuals who are recovering from Social Media addiction , individuals who are completely recovered from Social Media addiction . The steps of dynamic analysis include determining the equilibrium point, analyzing the stability of the equilibrium point, finding the basic reproduction number, numerical simulation of all variables. The results showed that the population of individuals infected with Social Media addiction in the mild stage was at a value of 1.6112 with t = 4 years while the population of individuals infected with Social Media addiction in the severe stage was at a value of 36.542 with t = 4 years. This study provides information that the dynamic analysis carried out on the modified mathematical model of Social Media addiction shows a stable condition. |
| format | Article |
| id | doaj-art-cb8cce98e60e4852bbf45fc206a7fd13 |
| institution | Kabale University |
| issn | 2086-0382 2477-3344 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Mathematics Department UIN Maulana Malik Ibrahim Malang |
| record_format | Article |
| series | Cauchy: Jurnal Matematika Murni dan Aplikasi |
| spelling | doaj-art-cb8cce98e60e4852bbf45fc206a7fd132025-08-20T03:48:30ZengMathematics Department UIN Maulana Malik Ibrahim MalangCauchy: Jurnal Matematika Murni dan Aplikasi2086-03822477-33442024-11-019231031910.18860/ca.v9i2.292258237Dynamical Analysis of Modified Mathematical Model of Social Media AddictionJuhari Juhari0Zulfa Akfi Fikrina1Evawati Alisah2Imam Sujarwo3Universitas Islam Negeri Maulana Malik Ibrahim MalangUniversitas Islam Negeri Maulana Malik Ibrahim MalangUniversitas Islam Negeri Maulana Malik Ibrahim MalangUniversitas Islam Negeri Maulana Malik Ibrahim MalangIn this study, there is no division between addiction in the mild and severe stages. Therefore, it is necessary to divide the stages of addiction because the healing is clearly different. Therefore, in this study, a modified dynamic analysis of the Social Media addiction model is carried out to obtain a valid model that can be implemented in real life. This study aims to find the stability of changes in the Addicted variable which is divided into two, namely Social Media addiction in the mild stage and Social Media addiction in the severe stage There are six models that have been modified in this study, namely, individuals who do not have Social Media but are vulnerable to addiction , individuals who have Social Media but are not yet at the addiction stage , individuals infected with Social Media addiction in the mild stage , individuals infected with Social Media addiction in the severe stage , individuals who are recovering from Social Media addiction , individuals who are completely recovered from Social Media addiction . The steps of dynamic analysis include determining the equilibrium point, analyzing the stability of the equilibrium point, finding the basic reproduction number, numerical simulation of all variables. The results showed that the population of individuals infected with Social Media addiction in the mild stage was at a value of 1.6112 with t = 4 years while the population of individuals infected with Social Media addiction in the severe stage was at a value of 36.542 with t = 4 years. This study provides information that the dynamic analysis carried out on the modified mathematical model of Social Media addiction shows a stable condition.https://ejournal.uin-malang.ac.id/index.php/Math/article/view/29225dynamic analysismodel modificationsocial media addiction model |
| spellingShingle | Juhari Juhari Zulfa Akfi Fikrina Evawati Alisah Imam Sujarwo Dynamical Analysis of Modified Mathematical Model of Social Media Addiction Cauchy: Jurnal Matematika Murni dan Aplikasi dynamic analysis model modification social media addiction model |
| title | Dynamical Analysis of Modified Mathematical Model of Social Media Addiction |
| title_full | Dynamical Analysis of Modified Mathematical Model of Social Media Addiction |
| title_fullStr | Dynamical Analysis of Modified Mathematical Model of Social Media Addiction |
| title_full_unstemmed | Dynamical Analysis of Modified Mathematical Model of Social Media Addiction |
| title_short | Dynamical Analysis of Modified Mathematical Model of Social Media Addiction |
| title_sort | dynamical analysis of modified mathematical model of social media addiction |
| topic | dynamic analysis model modification social media addiction model |
| url | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/29225 |
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