Asriadi Asriadi
Department of Mathematics, Universitas Negeri Gorontalo

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Analisis Dinamik pada Model Matematika SVEIBR dengan Kontrol Optimal Untuk Pengendalian Penyebaran Penyakit Kolera Agusyarif Rezka Nuha; Resmawan Resmawan; Sri Lestari Mahmud; Asriadi Asriadi; Andi Agung; Sri Istiyarti Uswatun Chasanah
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 1 June 2023
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v11i1.20611


Cholera is an infectious disease that attacks the human digestive system and can cause death. This article discusses the research results related to the mathematical model of the spread of cholera in the form of an optimal control system by combining three control strategies: vaccination, quarantine, and environmental sanitation. Pontryagin's maximum principle is applied to obtain optimal conditions based on the control strategy applied. Referring to the optimal conditions set, the model was solved numerically using the Runge-Kutta Order 4 method to describe the theoretical results. The calculation results show that applying the three control strategies in controlling the spread of cholera positively impacts reducing the number of cases of infection so that disease transmission can be discontinued.