Penyebaran Kecanduan Rokok Elektrik (Vape) dengan Model SCIR
DOI:
https://doi.org/10.53696/venn.v5i3.467Keywords:
Rokok Elektrik, Kecanduan Vape, Kestabilan Local, Model SCIR, Bilangan Reproduksi DasarAbstract
Penggunaan rokok elektrik (vape) berkembang sebagai fenomena sosial dan kesehatan yang dipengaruhi oleh interaksi antarindividu, pengaruh teman sebaya, serta persepsi bahwa vape lebih aman dibandingkan rokok konvensional. Penelitian ini bertujuan membentuk dan menganalisis model matematika tipe SCIR (Susceptible-Carrier-Infected-Recovered) untuk menggambarkan dinamika penyebaran kecanduan vape dalam suatu populasi. Penelitian menggunakan pendekatan kuantitatif deskriptif-analitis melalui formulasi sistem persamaan diferensial nonlinear, penentuan titik ekuilibrium, perhitungan bilangan reproduksi dasar, analisis kestabilan lokal, dan simulasi numerik. Populasi dibagi ke dalam empat kompartemen, yaitu individu rentan, individu coba-coba sebagai pembawa pengaruh sosial, individu kecanduan, dan individu pulih. Hasil analisis menunjukkan bahwa titik ekuilibrium bebas kecanduan adalah E0=(1,0,0,0), sedangkan penyebaran dikendalikan oleh bilangan reproduksi dasar . Jika R0<1, kelas carrier dan kecanduan menurun sehingga sistem bergerak menuju kondisi bebas kecanduan. Sebaliknya, jika R0>1, proporsi individu kecanduan meningkat dan sistem cenderung menuju kondisi endemik. Simulasi numerik memperlihatkan bahwa peningkatan laju pengaruh sosial dan laju transisi menuju kecanduan mempercepat penyebaran, sedangkan peningkatan laju pemulihan menekan nilai R0. Temuan ini menegaskan pentingnya edukasi, pembatasan interaksi berisiko, dan penguatan program pemulihan sebagai strategi pengendalian penyebaran kecanduan vape.Downloads
References
Agung, S. R., Ristiawan, R., & Mahyudi, M. (2025). Pemodelan matematika dan simulasi penyebaran kecanduan rokok elektrik (vape). Sainsmath: Jurnal MIPA Sains Terapan, 2(1). https://doi.org/10.30998/.v2i1.2079
Ardiyan Sabir, M., Asikin, M., & Willem, I. (2019). Pengaruh uap rokok elektrik terhadap kualitas udara ambien pada lingkungan pengguna rokok elektrik di Kota Parepare. Jurnal Ilmiah Manusia dan Kesehatan, 2(3), 447-458. https://doi.org/10.31850/makes.v2i3.190
Cleopatra, A. B., Fitriangga, A., & Fahdi, F. K. (2018). Factors related to the use of e-cigarettes in the West Pontianak region. Repositori Institusi Poltekkes Kemenkes Bandung, 013, 1-10.
Food and Drug Administration. (2009). Toxic constituents in tobacco products and smoke. FDA.
Giesecke, J. (2017). Modern infectious disease epidemiology (3rd ed.). Taylor & Francis.
Hamzah, B. (2021). Determinan penggunaan rokok elektrik pada remaja di Kelurahan Mogolaing Kotamobagu. Jurnal Kesmas (Kesehatan Masyarakat) Khatulistiwa, 8(1), 1-10. https://doi.org/10.29406/jkmk.v8i1.2466
Lynch, S. (2014). Dynamical systems with applications using MATLAB (2nd ed.). Springer.
Olsder, G. J., & van der Woude, J. W. (2014). Mathematical systems theory. Delft University Press.
Perasso, A. (2018). An introduction to the basic reproduction number in mathematical epidemiology. ESAIM: Proceedings and Surveys, 62, 123-138. https://doi.org/10.1051/proc/201862123
Putra, A. I., Hanriko, R., & Kurniawaty, E. (2019). Pengaruh efek paparan asap rokok elektrik dibandingkan paparan asap rokok konvensional terhadap gambaran histopatologi paru mencit jantan (Mus musculus). Jurnal Majority, 8(1), 90-94.
Widowati, & Sutimin. (2017). Buku ajar pemodelan matematika. FMIPA Universitas Diponegoro.
World Health Organization. (2020). Southeast Asia Tobacco Control Alliance (meeting report). WHO Framework Convention on Tobacco Control.
World Health Organization. (2024). Two decades of WHO FCTC implementation in the South-East Asia Region. World Health Organization.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Nur Rezky Ramadhan Ekky, Nur Rahmah Yunita Abar, Azwan Anwar
This work is licensed under a Creative Commons Attribution 4.0 International License.
The authors certify that:
- if the manuscript is co-authored, they are authorized by their co-authors to enter into these arrangements.
- the work described has not been formally published before in a registered ISSN or ISBN media, except in the form of an abstract or as part of a published lecture, review, or thesis.
- it is not under consideration for publication elsewhere,
- its publication has been approved by all the author(s) and by the responsible authorities – tacitly or explicitly – of the institutes where the work has been carried out.
- they secure the right to reproduce any material that has already been published or copyrighted elsewhere (it does not infringe on the rights of others).
- they agree to the license and copyright agreement.
All articles published are licensed under Creative Commons Attribution 4.0 International License.
- Authors retain copyright and other proprietary rights related to the article.
- Authors retain the right and are permitted to use the substance of the article in their own future works, including lectures and books.
- Authors grant the journal right of first publication with the work simultaneously licensed under Creative Commons Attribution License (CC BY 4.0) that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post or self-archive their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
