Dynamical Analysis of Cholera Epidemic Model with Educational Preventive Measures

Cholera is an infectious bacterial disease caused by a bacterium named Vibrio Cholerae. Therefore, this research aims to determine cholera's dynamic analysis due to its rapid spread, using educational preventive measures. The model consists of four human subpopulations, namely susceptible, educ...

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Bibliographic Details
Published in:Engineering letters 2021-08, Vol.29 (3), p.957
Main Authors: Muzaqi, Mohamad Hasyim, Trisilowati, Habibah, Ummu
Format: Article
Language:English
Subjects:
Asymptotic properties
Bacteria
Bacterial diseases
Cholera
Disease control
Disease prevention
Education
Equilibrium
Mathematical models
Parameter sensitivity
Sensitivity analysis
Stability analysis
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Summary:Cholera is an infectious bacterial disease caused by a bacterium named Vibrio Cholerae. Therefore, this research aims to determine cholera's dynamic analysis due to its rapid spread, using educational preventive measures. The model consists of four human subpopulations, namely susceptible, educated, infected, and recovered, as well as the bacteria population. The infection rate is assumed in the form of a saturated incidence rate found in interactions between the educated and bacteria population and the interactions between the susceptible and bacteria population. Furthermore, the dynamical analysis is performed by determining the equilibrium point, the basic reproduction number, and the stability. We also perform sensitivity analysis of the parameters. The results showed that the model has two equilibrium points, namely disease-free and endemic. The disease-free equilibrium point always exists, while endemic occurs when the basic reproduction number is greater than one. In addition, the disease-free equilibrium point is asymptotically stable when the basic reproduction number is less than one. Meanwhile, the endemic equilibrium point is asymptotically stable under certain conditions. Numerical simulations showed that the results are consistent with the analysis. Furthermore, educational measures have a significant impact on controlling the spread of cholera.
ISSN:1816-093X
1816-0948