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Suhud Wahyudi
Departemen Matematika Institut Teknologi Sepuluh Nopember Surabaya
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Design of Monkeypox Virus Spread Control in Humans Using Pontryagin Minimum Principle Lukman Hanafi; Mardlijah Mardlijah; Daryono Budi Utomo; Suhud Wahyudi; Alya Nur Sha-brina
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 10 No. 2 (2024)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/j24775401.ijcsam.v10i2.4582

Abstract

Monkeypox is a contagious disease caused by a virus. In Africa, monkeypox results in death in 1 out of 10 infected individuals. The Food and Drug Administration in the United States recommends vaccination as a preventive measure against monkeypox virus. If infected, the World Health Organization (WHO) advises quarantine to prevent further transmission to others. This research develops a mathematical model known as SIR (Susceptible-Infected-Recovered) for the spread of monkeypox virus, incorporating vaccination and quarantine as control measures. The SIR model utilized is based on an existing model and follows the conditions of monkeypox spread in Nigeria, represented as a system of nonlinear differential equations. Optimal control is determined using the Pontryagin Minimum Principle and simulated using the fourth-order forward-backward sweep Runge-Kutta method to assess the level of monkeypox infection before and after implementing control measures. Based on the simulation results, it is concluded that the application of control measures can reduce the population of infected monkeys by 70% and infected humans by 59%.
Co-Authors Adityo, R. Dimas Alya Nur Sha-brina Aminuyati Athaya Aufa Diaz Basuki Widodo Budi Setiyono Chairul Imron, Chairul Darmaji Darmaji Daryono Budi Utomo Daryono Budi Utomo Dea Oktavianti Dea Oktavianti Dian Mulazamatul Fitria Enny Widyaningrum, Mahmudah Erlyne Nadhilah Widyaningrum Farida Agustini Widjajati Farida Agustini Widjajati Hafid Syaifudin, Wawan HARIYANTO HARIYANTO Hariyanto Hariyanto Imam Mukhlash Isti Rizkiani Kamiran Kamiran Kamiran Kamiran Kartika Mahanani Kirana Damayanti Putri Hapsari Lailatur Rosyidah Lukman Hanafi Lukman Hanafi Mahmudah Enny Widyaningrum Mardlijah - Meidyta Sinantryana Widyaswari, Meidyta Sinantryana Moch. Shofwan Muh. Alwan Hadi Muslichah Erma Widiana Nur Asiyah Nurani Dwi Pangestuti Nurul Hidayat Rinurwati Rinurwati Sadjidon Sadjidon Safarina, Sena Sentot Didik Surjanto Sentot Didik Surjanto Soehardjoepri Soehardjoepri Soehardjoepri, Soehardjoepri Subchan, Subchan Suhadi Wido Saputro Teas N Qurniawati Wawan Hafid Syaifudin