R. Resmawan, Lailany Yahya, Sri Lestari Mahmud, Agusyarif Rezka Nuha, Nazrilla Hasan Laita
This study aims to analyze the mathematical model of the cholera disease spread involving medication and environmental sanitation. The model was analyzed by determining the equilibrium point and the basic reproduction number. The next step was to analyze the equilibrium point, sensitivity, and simulate numerically. Analysis of the stability of the disease-free and endemic equilibrium points used the Routh-Hurwitz criteria and the Castillo-Chaves and Song Theorem. The Analysis result of the model produced two equilibrium points; namely the disease-free equilibrium point (T1) for local asymptotic stability R0 < 1 and the endemic equilibrium point (T2) for local asymptotic stability if R0 > 1. Furthermore, the sensitivity analysis indicated the most sensitive parameters for basic reproductive number changes in succession are the parameters for natural birth rates (A), the transmission rate of bacteria from the environment to humans (β), the saturated concentration of bacteria in water (k), an increase in the bacterial population caused by environmental pollution rate by humans (ξ). Numerical simulations suggest an increase to give vaccine can contribute to slowing the transmission of cholera where as the reduction of a vaccine able to promote the transmission of cholera diseases. © 2023 Author(s).
Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo, Jl. Prof. Dr. Ing. B. J. Habibie, Moutong, Tilongkabila, Kabupaten Bone Bolango, Gorontalo, 96554, Indonesia
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