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Journal : ARRUS Journal of Mathematics and Applied Science

Numerical Solution of the Mathematical Model of DHF Spread using the Runge-Kutta Fourth Order Method Side, Syafruddin; Zaki, Ahmad; Miswar
ARRUS Journal of Mathematics and Applied Science Vol. 2 No. 2 (2022)
Publisher : Lembaga Penelitian dan Pengembangan Teknologi dan Rekayasa, Yayasan Ahmar Cendekia Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35877/mathscience745

Abstract

This research was conducted to find a numerical solution to the mathematical model of DHF in Makassar using the Runge-Kutta fourth order method. The mathematical model of DHF is in the form of a system of differential equations that includes variables S (Susceptible), E (Exposed), I (Infected), and R (Recovery) simplified into classes of vulnerable (S), exposed (E), infected (I) and cured (R) as initial value. Parameters value that is solved numerically using the Runge-Kutta fourth order method with time intervals h = 0.01 months using data from South Sulawesi Provincial Health Service in 2017. Based on the initial value of each class, namely: obtained (Sh1) =10910.4, (E) = 0, (Ih1) = 177.9 , (Sv1) = 5018685.6, (Iv1) = 135.4, and R = -981612.3. The initial values ​​and parameter values ​​are substituted into numerical solutions to the model simulated using maple as a tool.
Numerical Solution of the Mathematical Model of DHF Spread using the Runge-Kutta Fourth Order Method Syafruddin Side; Ahmad Zaki; Miswar
ARRUS Journal of Mathematics and Applied Science Vol. 2 No. 2 (2022)
Publisher : Lembaga Penelitian dan Pengembangan Teknologi dan Rekayasa, Yayasan Ahmar Cendekia Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35877/mathscience745

Abstract

This research was conducted to find a numerical solution to the mathematical model of DHF in Makassar using the Runge-Kutta fourth order method. The mathematical model of DHF is in the form of a system of differential equations that includes variables S (Susceptible), E (Exposed), I (Infected), and R (Recovery) simplified into classes of vulnerable (S), exposed (E), infected (I) and cured (R) as initial value. Parameters value that is solved numerically using the Runge-Kutta fourth order method with time intervals h = 0.01 months using data from South Sulawesi Provincial Health Service in 2017. Based on the initial value of each class, namely: obtained (Sh1) =10910.4, (E) = 0, (Ih1) = 177.9 , (Sv1) = 5018685.6, (Iv1) = 135.4, and R = -981612.3. The initial values ​​and parameter values ​​are substituted into numerical solutions to the model simulated using maple as a tool.
Co-Authors . Sulaiman . Sulaiman . Sutra . Sutra Abd. Kadir A. Abdul Kadir Ahmad Ali Ramli AHMAD FAUZAN RIDHA SUJIONO Ahmad Yani Ahmad Yani Ahmad Zaki Ahmad Zaki Ahmad Zaki Ahmad Zaki Ahmad Zaki Ahmad Zaki Ahmad Zaki Ahmar, Ansari Saleh Aidid, Muhammad Kasim Aisyah Mukhlisah Araaf Alief Saputro Alimuddin Tampa Alvioni Bani Amal Arfan, Amal Amni Rasyidah Andi Gagah Palarungi Taufik Andi Muh. Ridho Yusuf SAP Andi Muhammad Ridho SAP Andi Muhammad Ridho Yusuf Sainon Andi Pandjajangi Andi Muhammad Ridho Yusuf Sainon Andin P Annas, Suwardi Annisa Uniarti Annisa Uniarti Arifuddin R Arika Dwi Angraeni Rasida Armalinda Mohammad Adam Aswi, Aswi Beby Fitriani Bohari, Nurul Aulia Citra Suci Said Dian Pebriani Emi Wulandari Emi Wulandari Fitrah Mallolongeng Fitriyani Fitriyani Fitriyani Gita Tri Asfarina Gita Tri Asfarina Hadrianty Ramli Hadrianty Ramly Hasri Hasri Hasri Hasri Hisyam Ihsan Husnul Khatimah Syam Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan J. Jusriadi Jafaruddin a, Jafaruddin Jusriadi Katrina Pareallo La Ode Salman Yassar Luthfiah Arradiah Marfianti, Marfianti Maya Sari Wahyuni Meisy Tri Elsa Meisy Tri Elsa Miswar Miswar Mohd Salmi Md Noorani Mudinillah, Adam Muh Al Rasyid Ridho Muh. Isbar Pratama Muh. Rifki Muh. Rifki Muhamammad Imron AY Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Arif Tiro, Muhammad Arif Muhammad Edy Rizal Muhammad Edy Rizal Muhammad Farhan Muhammad Fatur Rahman Muhammad Iqbal Muhammad Iqbal Muhammad Irfan Muhammad Isbar Pratama Muhammad Nur Ilham Muhammad Rifandi Muhjria Muhjria Munadiya Yunadiya Musdalifa Pagga Musdalifah Pagga Mustati'atul Waidah Maksum Muthia Ramadhani N. Nurhaeda Neldi Neldi, Neldi Nikmatullah Nur, Nikmatullah Nor Zila Abdul Hamid Nora Auliya Zahra Norliana Rahmasari Norliana Rahmasari Nur Fajri Setiawan Nur Izzah Nurdin Nur Izzah Nurdin Nur Khaerati Rustan Nur Khaerati Rustan Nur Qomariah Nurhaeda Nurul Aulia Bohari Nurul Aulia Bohari Nurul Azizah Muzakir Nurul Fadhilah Syahrul Nurul Syahirah Nurwahidah Sari Nusrang, Muhammad Pagga, Musdalifa Puspitasari Putri Kharina Mahathir Hulinggi Rahman, Abdul Rahmat Syam Rahmat Syam Rahmat Syam Raihana Nurfitrah Raihana Nurfitrah Reza Arisandi Reza Arisandi Rifki, Muh. Rosmini Maru Ruliana Rustan, Nur Khaerati S. Sartika Sahlan Sidjara Sahlan Sidjara SATRIYAS ILYAS Setiawan, Nur Fajri Sopiyah Sri Indriani Sri Nur Qadri St. Nurhilmah Busrah Sudarmin - Suhartono Nurdin Sukarna Sukarna Sukarna Sulaiman - Sulaiman Sulaiman Supriadi Yusuf Suriyandi Suriyandi Sutriani Hidri, Sutriani Syahrana Syahrana Syana Nurul Utari Syarif Hidayat Wahida Sanusi Wahidah Sanusi Wahidah Sanusi Wahyuni, Maya Sari Wahyuni, Maya Sari Waode Nurlaelah Wulandari, Emi Yulita Molliq Rangkuti Yusnalia Kadir Zakyah, Nur