International Journal of Computing Science and Applied Mathematics-IJCSAM
Vol. 10 No. 2 (2024)

Design of Monkeypox Virus Spread Control in Humans Using Pontryagin Minimum Principle

Lukman Hanafi (Institut Teknologi Sepuluh Nopember)
Mardlijah Mardlijah (Institut Teknologi Sepuluh Nopember)
Daryono Budi Utomo (Institut Teknologi Sepuluh Nopember)
Suhud Wahyudi (Institut Teknologi Sepuluh Nopember)
Alya Nur Sha-brina (Institut Teknologi Sepuluh Nopember)



Article Info

Publish Date
15 Aug 2025

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%.

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Journal Info

Abbrev

ijcsam

Publisher

Subject

Mathematics

Description

IJCSAM (International Journal of Computing Science and Applied Mathematics) is an open access journal publishing advanced results in the fields of computations, science and applied mathematics, as mentioned explicitly in the scope of the journal. The journal is geared towards dissemination of ...