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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI BAREKENG: Jurnal Ilmu Matematika dan Terapan Martabe : Jurnal Pengabdian Kepada Masyarakat MES: Journal of Mathematics Education and Science Journal of Science and Technology Mathematics and Applications (MAp) Journal
Rianjaya, Ilham Dangu
Universitas Islam Negeri Imam Bonjol
Agriculture, Biological Sciences & Forestry Arts Humanities Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Education Energy Engineering Mathematics Mechanical Engineering Physics Social Sciences Transportation

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Journal : MES: Journal of Mathematics Education and Science

 1 
Analisis Dinamik Model Matematika Penyebaran Penyakit HIV/AIDS dengan Edukasi Dan Art Treatment Mohamad Syafii; La Ode Sabran; Ilham Dangu Rianjaya
MES: Journal of Mathematics Education and Science Vol 9, No 1 (2023): Edisi Oktober (Progress)
Publisher : Universitas Islam Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30743/mes.v9i1.7924

Abstract

Mathematical models are often used to describe phenomena in the field of biology, such as the spread of infectious diseases, one of which is HIV/AIDS. The prevention of HIV/AIDS is through education on the dangers of HIV/AIDS, and ART treatment for HIV positive individuals to increase immunity. The purpose of this study is to analyze the dynamic mathematical model of the transmission of HIV/AIDS with ART treatment and education. This research is a literature study. This study develops the SITA model, by including compartments of susceptible individuals who are aware of the spread of HIV/AIDS and add several parameters to the model. Based on the mathematical model used, two equilibrium points are obtained, namely the disease-free equilibrium point and the endemic equilibrium point, the basic reproduction number and stability analysis around the stability point. Based on the data used, a simulation of the transmission of HIV/AIDS was obtained at both equilibrium points. The stability analysis shows that the disease-free equilibrium point is locally asymptotically stable if R01.
Analisis Dinamik Model Matematika Penyebaran Penyakit HIV/AIDS dengan Edukasi Dan Art Treatment Syafii, Mohamad; Sabran, La Ode; Rianjaya, Ilham Dangu
MES: Journal of Mathematics Education and Science Vol 9, No 1 (2023): Edisi Oktober
Publisher : Universitas Islam Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30743/mes.v9i1.7924

Abstract

Mathematical models are often used to describe phenomena in the field of biology, such as the spread of infectious diseases, one of which is HIV/AIDS. The prevention of HIV/AIDS is through education on the dangers of HIV/AIDS, and ART treatment for HIV positive individuals to increase immunity. The purpose of this study is to analyze the dynamic mathematical model of the transmission of HIV/AIDS with ART treatment and education. This research is a literature study. This study develops the SITA model, by including compartments of susceptible individuals who are aware of the spread of HIV/AIDS and add several parameters to the model. Based on the mathematical model used, two equilibrium points are obtained, namely the disease-free equilibrium point and the endemic equilibrium point, the basic reproduction number and stability analysis around the stability point. Based on the data used, a simulation of the transmission of HIV/AIDS was obtained at both equilibrium points. The stability analysis shows that the disease-free equilibrium point is locally asymptotically stable if R01.
Co-Authors Darvi Mailisa Putri Dwi Sulistiowati Eva Binsasi Hasibuan, Lilis Harianti Indah Permata Sari La Ode Nashar La Ode Sabran Mahendra, Fikri Rizky Maya Sari Syahrul Miftah Jannah Miftahul Jannah Miftahul Jannah Mohamad Syafi’i Musthofa, Syarto Norisca Lewaherilla Putri, Amelia Sabran, La Ode Sarbaini Sarbaini Sarbaini Sarbaini Serly Cania Sholih, Ahmad Shubhi Siti Helmyati