Strategi Kontrol Optimal pada Model Dinamika Penyebaran Cacar Monyet (Monkeypox)

Abstract

Monkeypox is an infectious disease that requires serious attention due to its rapid rate of spread. This study aims to analyze the dynamics of monkeypox transmission using the SEIR epidemiological model and to design an optimal control strategy to reduce the number of infections and control costs. The implemented control strategies include quarantine and health campaigns, which were designed using the Pontryagin maximum principle approach. Numerical simulations were conducted to compare scenarios without control and with optimal control. The results show that the optimal control strategy is effective in reducing the number of exposed and infected individuals. In the scenario without control, the total number of infections reached 26,481 individuals, whereas, with optimal control, infections were reduced to 267 individuals, demonstrating a reduction of 99.29%. Additionally, optimal control slowed the spread of the disease, allowing more time for additional interventions such as vaccination or treatment. This study concludes that optimal control strategies based on mathematical models are an effective and efficient approach to controlling the spread of monkeypox. This approach can serve as a valuable guide for developing policies to control infectious diseases in the future.