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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.
Peramalan Jumlah Penderita Demam Berdarah Dengue Menggunakan Metode Seasonal-ARIMA Zaki, Ahmad; Wahyuni, Maya Sari; Irwan, Irwan; Rahman, Abdul
ARRUS Journal of Mathematics and Applied Science Vol. 3 No. 2 (2023)
Publisher : PT ARRUS Intelektual Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35877/mathscience2143

Abstract

Penelitian ini membahas tentang peramalan jumlah penderita Demam Berdarah Dengue (DBD) menggunakan metode Seasonal Autoregressive Integrated Moving Average (Seasonal-ARIMA). Tujuan dari penelitian ini adalah untuk mendapatkan model Seasonal-ARIMA terbaik sehingga dapat meramalkan jumlah penderita DBD di Kabupaten Bulukumba untuk 12 bulan ke depan. Jenis penelitian ini adalah penelitian terapan dengan data sekunder yang diperoleh dari Dinas Kesehatan Kabupaten Bulukumba. Jumlah data yang digunakan adalah 84 data dari tahun 2014-2020. Data dianalisis dengan menggunakan software Minitab 17. Hasil penelitian ini diperoleh model terbaik yaitu model Seasonal-ARIMAuntuk melakukan peramalan 12 bulan ke depan dengan nilai MAPE sebesar 30,62% yang berarti bahwa model peramalan cukup baik, layak dan memadai untuk melakukan peramalan.
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 Abdul Rahman Achmad Syaichu, Achmad Afifah, Khairiza Agustin Sukarsono, Agustin Ahmad Talib Ahmad, Khawaritzmi Abdallah Akbar, Muh. Akmalia, Rizki Al-Qadri, Muammar Alimuddin, Fauziyyah Andini, Andini Andini, Zahra Anugerah, Andi Surya Ariani, Meisy Armasari, Fanny Awi Dassa, Awi Ayu Rahayu Azizah Aksa, Nurul Azizah, Salma Azizah, Zulianty Putri Baharuddin Siregar, Baharuddin Bahrul Ulum BAKHRANI RAUF Bangun, Khofifah Riana Br Baso Intang Sappaile, Baso Intang Boangmanalu, Lilis Karlina Caroko, Novi Chatarina Umbul Wahyuni Damanik, Kemala sari Darimolyo, Priyo Novendri Darmawang, Darmawang Deng, Abraham Ayuen Ngong Dewi Agustina Diwanta , Faradilla Djam'an, Nurwati Dwi, Yoki Eka Kartika, Andi Ekasatya Aldila Afriansyah Elly Arliani Erdianto Effendi Fachruddin Fachruddin Fajar Arwadi Fajar Saputra, Farly Fajarianto, Muhammad Fariz Fauzana, Rahmi Ferawati Ferawati Fitri Aulia Fitri Fitri Fudhail, Ahmad Hasan Basri HASNAWI HARIS, HASNAWI Hassan, Muhammad Nasiru Hidayani, Syarifah Hisyam Ihsan Hurun ain Ibrahim, Zainah Ilham Minggi Ina Sunaryantiningsih, Ina Indah Rahma Dila, Nur Indah Yuliana Irna Tri Yuniahastuti Irwan Irwan Irwan Irwansyah Irwansyah Isnaini, Faizzah Pipit J.C. Heldiansyah Jazaul Ikhsan Ja’faruddin, Ja'faruddin Jusman, Yessi Khadijah Khadijah Khadijah Rambe, Yuskaini Khairul Nizam Lailil Muflikhah Lubis, Kristina Lukman Murdiansyah, Lukman Maharani, Erinsa Mahbubi, Khairil Marwa, Nabilah Aprilia Matondang, Desi Ramadhani Matondang, Tria Syafira Megarani, Sheila Mesiono, Mesiono Mintasih Indriayu, Mintasih Miswar Monalisa, Agnes Muhammad Afif Muhammad Ammar Naufal Muhammad Isbar Pratama Muhammad Kaulan Karima Munandar, Deden Aris Muti’ah Siregar, Salwa Mutmainnah MR, Luthfiah Nanda, Meutia Nanik Wahyuni ‎ Nasir, Norma Nasrullah Nasrullah Nasuion, Pitriani Nasution, Pitriani Ni Nyoman Kencanawati Ningtias, Afri Novita Sari Novitasari, Dima Indah Nugroho, Guntur Nulhakim, Lukman Nur Atifah NUR FAJRINA Nurhaliza, Ratih Nursetiawan, . Nyulle, Rusdianto Octaviona, Era P. Rosyidi, Sri Atmaja Perkasa, Ripho Delzy Pratomo, Adhi Purba, Hairum Nafsiah Purnama Alamsyah Puspita, Jeni Putri Irviana, Adelia Putri Lestari, Putri Putri, Gita Leviana Qomari, Lina Sabrina R. Rusli Rahmada, Lily Rahman, Muhammad Fatur Rahmasari, Norliana Rahmat Syam Rahmatillah, Lia Fitria Raisa, Dwi Ramadhan, Farhan Ramadhan, Nugraha Pratama Ramadhani, Wafi Bintang Ramadhanu, Isnan Ramadhanu, Suhada Ramadiah, Putri Suci Ramdhani, Nurfitriah Ritonga, Ihdi Syahputra RR. Ella Evrita Hestiandari Sabila, Widya Safitri N.N, Novi Sahid Sahid Sahkholid Nasution Saptriana, Lia Sarjon Defit Sartika Sartika Sativa H Sihotang, Oryza Satriani, Iman Satriawan, Bunsa Jondan Sembe, Imanuel Agung Setiawan*, Bambang Setiawan, Endra Aji Shafruddin, Lutfiah Sibuea, Alya Az Zahra Side, Syafrudin Sidjara, Sahlan Siregar, Jelita Suryani Siti Jahroh Sitorus, Maria Ulpah Slamet Riyadi Sudarmanto, Eko Sulaiman Sulaiman Sumijan Sumijan Suparno Suparno Suriani, Ari Surono, Untoro Budi Suryawan Murtiadi, Suryawan Sutamrin Sutamrin, Sutamrin Syafruddin Side Syahfitri, Winda Syarif Hidayat Syuaiba, Nur Tampa, Alimuddin Tantri, Dinda Agus Taufiq Hidayanto, Taufiq Thaha, Irwan Thamrin, Rendy Tirana Noor Fatyanosa, Tirana Noor Triwahyuni, Desi Ula, Al Fiatul Usman Mulbar Vinanda, Firda Wahidah Sanusi Wahyuni, Maya Sari Wasiyem, Wasiyem Widiyaningrum, Eka Janivia Yadi, Seplika Yusri, Diyan Yusuf, Effendi Yusuf, Sitti Rabiah Zahra, Nurul Zainal , Muhammad Rahfiqa