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Mahuda, Isnaini
Universitas Bina Bangsa
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Journal : Journal of Science and Technology

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Pemodelan Matematika dan Analisis Kestabilan Model Pada Penyebaran HIV/AIDS Tipe SITA (Susceptible, Infected, Treatment, AIDS) Mahuda, Isnaini; Rofiroh, Rofiroh
JOSTECH Journal of Science and Technology Vol 4, No 1: Maret 2024
Publisher : UIN Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/jostech.v4i1.8323

Abstract

HIV/AIDS still become a major public health problem that occurs in almost all countries in the world. Until now, no medicine has been found that can treat HIV/AIDS. However, there is therapy or treatment that can be done to slow the spread of the virus, namely antiretroviral (ARV) or called Antiretroviral Therapy (ART). The mathematical modeling carried out in this study uses the SITA type where there are 4 compartments, namely Susceptible (S), Infected (I) Treatment (T), and AIDS (A) in a closed population. The objectives of this research are: 1) to construct a mathematical model for the spread of SITA type HIV/AIDS, 2) determine the equilibrium point and stability of the equilibrium point of the model, 3) determine the basic reproduction number (R_0), and 4) carry out a dynamic simulation of the model. Mathematical modeling of the spread of SITA type HIV/AIDS produces two equilibrium points, namely the disease-free equilibrium point (E_1) and the endemik equilibrium point (E_2). From the results of the analysis, the basic reproduction ratio (R_0) was also obtained by building a matrix called the Next Generation Matrix (NGM). The basic reproduction ratio number (R_0) also determines the existence and stability of the equilibrium point and can control the rate of spread of HIV/AIDS. Based on the simulation results, the parameter value that greatly influences population dynamics is the rate of treatment given to the Infected (I) sub population.
Co-Authors 04, Meida Fitriani Agusutrisno Agusutrisno, Agusutrisno Ahmad Jamiluddin Fikri Ahmad Mukhlis, Ahmad Ajeng Afifah Muhartini Ajeng Afifah Muhartini Akbar Nugraha Alisya, Regina Dwirahma Anggita Megasari Anton Nasrullah, Anton Arief Rahman Arina, Faula Arta Rusidarma Putra Asep Rahmatullah Asmaraningtyas, Kinanthi Trah Asnawi Asnawi Asshiddieqie, Rafi Ramadhan Atia Sonda Ayang Fristia Maulana Beni Junedi Beni Junedi Bhat , Ishfaq Ahmad Caesarani, Sarah Dedy Khaerudin Delano, M. Fabian Reinhard Desiyani, Risma Eka Dewi Anita Layli Ernawati Ernawati Faiz, Syukron Faqihuddin Faqihuddin Febrianti, Tanti HAMIDAH Harsono, Pram Hidayanti, Nur Hidayat, Amat Himmatul Mursyidah Holilah Ichsan, Andhika Muhamad Jaka Wijaya Kusuma Junedi, Beni Kusuma, Aria Cendana M. Adlan Abizar Meilisa, Ranny Melani Dwi Agustini Miftahul Huda Miftahus Sholihin Mira Marlina Mochamad Novel Muhartini, Ajeng Afifah Nenden Gustika Maulani Nirmalasari, Dinar Nisa’, Khoirotun Nur Aini F Nurhasan Nugroho Nurhayati Oman Sahroni Oman Sharoni Pardomuan Robinson Sihombing Pertiwi, Dinda Dwi Anugrah Purwaningsih, Zenny Puspita Maelani Rahma, Midia Rahmawati, Septi Dwi Ratnasari, Silvia Regita Alfianti Rofiroh Rofiroh Rofiroh, Rofiroh Saeful Hidayat Sari, Putri Dina Septi Dwi Rahmawati SIREGAR, DINA KHAIRUNA Siti Ayu Amalia Solihin Sri Sukmawati Sri Sukmawati Suhamah, Amah Suseno, Bambang Dwi Syarif Abdullah Tanti Febrianti Taufan Talib Tubagus Bakhrul Alam Udiansyah, Naufal Arrafi Ujang Hibar Ulfi Jefri Wahyu Wiguna WICAKSONO, AGUNG SATRIO