Nur Safitri Abdul, Lailany Yahya, R. Resmawan, A.R. Nuha
This research discusses the math model of spreading cholera disease with a mathematical model constructed by considering a vaccination strategy. In addition, there is a population of hyper infectious and less infectious bacteria, so the model of SVIR-BhiBli type. The model is formed in fixed-point determination, basic reproductions numbers, analysis of the equilibrium point, and sensitivity analysis The equilibrium analysis produces two equilibrium points of disease-free equilibrium point is locally asymptotically stable if (Formula Presented) and endemic equilibrium points will be locally asymptotically stable if (Formula Presented). Furthermore, a numerical simulation that the increase in vaccination rate influences the decline in R0 value while increased rate of vaccine depreciation can increase the value of R0. In addition, sensitivity analysis shows that if the parameter (Formula Presented) is enhanced while other contrast parameters will contribute to the increase in R0 value, it can increase the rate of transmission of cholera disease. Whereas if the parameter μp is enhanced while other contrast parameters will contribute to the decrease in R0 value, the dissemination of the disease can be pressed very significantly. © 2022, Author. All rights reserved.
Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo, Jl. Prof. Dr. Ing. B. J. Habibie, Moutong, Tilongkabila, Gorontalo, Kabupaten Bone Bolango, 96119, Indonesia
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