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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 Side, Syafruddin; Zaki, Ahmad; Miswar
ARRUS Journal of Mathematics and Applied Science Vol. 2 No. 2 (2022)
Publisher : PT ARRUS Intelektual 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 Abdul Kadir Abdul Kadir Abdul Rahman Ahmad Ali Ramli AHMAD FAUZAN RIDHA SUJIONO ahmad yani Ahmad Yani AHMAD ZAKI Ahmad Zaki Ahmar, Ansari Saleh Aidid, Muhammad Kasim Aisyah Mukhlisah Araaf Aisyah Zahra Ramadhani Asya Akbar Aldri Frinaldi Alief Saputro Alimuddin Alimuddin Alimuddin Tampa Alvioni Bani Amal Arfan, Amal Amanullah, Abdul Amni Rasyidah Andi Gagah Palarungi Taufik Andi Muhammad Ridho Sainon Andi Pandjajangi Andi Muhammad Ridho SAP Andi Muhammad Ridho Yusuf Sainon Andi Pandjajangi Andi Muhammad Ridho Yusuf Sainon Andin P Angri Lismayani Annas, Suwardi Annisa Uniarti Annisa Uniarti Arifuddin R Arika Dwi Angraeni Rasida Arkas, Amaliah Nurul Armalinda Mohammad Adam Arsita, Asriani Asdar Astri Utari Aswi, Aswi Aulia, Hikma Baehaqi Bahar, Nur Qadri Baiq Nurkhalishah Beby Fitriani Bohari, Nurul Aulia Bohari, Nurul Aulia Citra Suci Said Damang, Dahnial Dian Pebriani Emi Wulandari Fajar Arwadi Farhan, Muh. Firdaus, Muh. Ishaq Fitrah Mallolongeng Fitri, Vanda Elona Fitriani Fitriani Fitriyani Fitriyani Fitriyani Gita Tri Asfarina Gita Tri Asfarina Hadrianty Ramli Hadrianty Ramly Hamzah Upu Haris Haris, Haris Hasri Hasri Hasri Hasri Hirpan Hirpan Hisyam Ihsan Husnul Khatimah Syam Ilham Minggi Imron AY, Muhamammad Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Ismail, Khusnul Ryana Tasya J, Jusriadi Ja'faruddin Jafaruddin a, Jafaruddin Kaito, Nurlaila Karwingsi, Ersa Katrina Pareallo Khadijah , Ummul Khaeria, Nurul Khairana, Nadiyah La Ode Salman Yassar Luthfiah Arradiah Mallolongeng, Fitrah Marfianti, Marfianti Maulida, Nurul Ismi Meisy Tri Elsa Meisy Tri Elsa Miswar Mohd Salmi Md Noorani Mudinillah, Adam Muh Al Rasyid Ridho Muh. Darwis Muh. Rifki Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Arif Tiro, Muhammad Arif Muhammad Edy Rizal Muhammad Farhan Muhammad Iqbal Muhammad Irfan Muhammad Isbar Pratama Muhammad Nur Ilham Muhammad Rakib Muhammad Ridho Yusuf SAP Muhammad Rifandi Muhjria, Muhjria Muktamar, Muhammad Ilham Mulyaningrum, Dwidary Munadiya Yunadiya Musawira Musdalifa Pagga Musdalifah Pagga Musfira, Musfira Musfira, Nur Fadillah Mustati'atul Waidah Maksum mutiara mutiara N. Nurhaeda Nathaniel Lucky Mangngesak Naufal, Afiq Neldi Neldi, Neldi Nikmatullah Nur, Nikmatullah Nor Zila Abdul Hamid Nora Auliya Zahra Norliana Rahmasari Nur Fajri Setiawan Nur Izzah Nurdin Nur Khaerati Rustan Nur Qomariah Nur Rezky Ramadhan Nurazizah Nurdin, Nur Izzah Nurhaeda Nurul Aulia Bohari Nurul Azizah Muzakir Nurul Fadhilah Syahrul Nurwahidah Sari Nurwijayanti Nusrang, Muhammad Padjalangi, Andi Muhammad Ridho Yusuf Sainon Andi Pagga, Musdalifa Palumpun, Feby Fristi Pandjajangi, Andi Muhammad Ridho Yusuf Sainon Andi Puspitasari Putri Kharina Mahathir Hulinggi Putri, Naswa Azima Qudratullah Qudratullah Rahman, Muhammad Fatur Rahmasari, Norliana Rahmat Syam Rahmat Syam Raihana Nurfitrah Raihana Nurfitrah Ramadhan, Nur Resky Ramadhani, Muthia Reza Arisandi Reza Arisandi Ridho, Andi Muhammad Rifki, Muh. Risma Risma, Risma Rosmini Maru Rudi Ruliana Rustan, Nur Khaerati S. Sartika Sahlan Sidjara Sahlan Sidjara Sainon Andi Pandjajangi, Andi Muhammad Ridho Yusuf Sakina Putri Sahara Sanusi, Wahida SAP, Andi Muh. Ridho Yusuf SATRIYAS ILYAS Selviana, Atika Fairuq Setiawan, Nur Fajri Sidjara, Sahlan Sopiyah Sri Indriani Sri Nur Qadri St. Nurhilmah Busrah Suciyanti, Nurafni Sudarmin - Suhartono Nurdin Sukarna Sukarna Sukarna Sulaiman - Sulaiman Sulaiman SULFIANA, SULFIANA Supriadi Supriadi Supriadi Yusuf Suriyandi Suriyandi Sutriani Hidri, Sutriani Suwardi Annas Syahirah, Nurul Syahrana Syahrana Syana Nurul Utari Syarif Hidayat Syarif Hidayat Talib, Dr. Ahmad Usman Mulbar Wahidah Sanusi Wahidah Sanusi Wahyuni, Maya Sari Wahyuni, Maya Sari Waode Nurlaelah Wulandari, Emi Yanti, Nurul Castri Yulita Molliq Rangkuti Yusnalia Kadir Yusuf Ramadana Yusuf S.A.P., Andi Muh. Ridho Yusuf Sainon Andi Pandjajangi, Andi Muhammad Ridho Yusuf SAP, Andi Muh. Ridho Yusuf SAP, Andi Muhammad Ridho Zahra, Nora Auliya Zakyah, Nur