# DYNAMIC ANALYSIS OF THE MATHEMATICAL MODEL OF THE SPREAD OF CHOLERA WITH VACCINATION STRATEGIES

• Nur Safitri Abdul Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo
• Lailany Yahya Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo
• R. Resmawan Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo
• Agusyarif Rezka Nuha Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo
Keywords: Cholera, Vaccination, Mathematical Model, Basic Reproductive Numbers, Stability Analysis

### Abstract

This research discusses the math model of spreading cholera disease with a mathematical strategy of math model constructed by considering a vaccination strategy. In addition, there is a population of hyperinfectious and lessinfectious bacteria so that the model of SVIR-BhiBli type, by. The model formed in the form of determination of fixed point, determination of basic reproductions numbers, analyzing the equilibrium point and sensitivity analysis. The equilibrium analysis produces two equilibrium points of a immediate-free equilibrium point of aceletotic local if  and endemic equilibrium points will be stable local asymptotics if . Furthermore, numerical simulation that the increase in vaccination rate influences on the decline in  value while increased rate of vaccine depreciation can increase the value of . In addition, sensitivity analysis shows that if the parameter  is enhanced while other contrast parameters will contribute to the increase in  value, as a result can increase the rate of transmission of cholera disease. Whereas if the parameter  is enhanced while other contrast parameters will contribute to the decrease in  value, as a result of the dissemination of the disease can be pressed very significantly.

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Published
2022-03-21
How to Cite
[1]
N. Abdul, L. Yahya, R. Resmawan, and A. Nuha, “DYNAMIC ANALYSIS OF THE MATHEMATICAL MODEL OF THE SPREAD OF CHOLERA WITH VACCINATION STRATEGIES”, BAREKENG: J. Math. & App., vol. 16, no. 1, pp. 281-292, Mar. 2022.
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Articles