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Aruman Imron
University of Brawijaya
Biochemistry, Genetics & Molecular Biology Immunology & microbiology Medicine & Pharmacology Neuroscience

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Dynamic Analysis of Epidemic Model for Cholera Disease Spreading with Quarantine Tyas Husadaningsih; Wuryansari Muharini K; Aruman Imron
The Journal of Experimental Life Science Vol. 8 No. 1 (2018)
Publisher : Postgraduate School, Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1352.462 KB) | DOI: 10.21776/ub.jels.2018.008.01.03

Abstract

In this paper, the epidemic model of cholera disease spreading by quarantine is discussed. It is assumed that the spread of cholera not only through direct contact between susceptible human populations with bacteria but also through direct contact between susceptible human populations with infected human populations and reduced bacterial populations not only die naturally but can also be done by means of extermination bacteria. Determination of equilibrium points, existence and local stability of equilibrium points are investigated. Numerical simulations are performed to illustrate the results of the analysis.Keywords: Cholera Disease, Epidemic Model, Runge-Kutta Method 4th order, Stability, Quarantine.
Co-Authors Tyas Husadaningsih Wuryansari Muharini K