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A Deterministic Mathematical Model on Cholera Dynamics and Some Control Strategies

Journal: International Journal of Scientific Engineering and Technology (IJSET) (Vol.3, No. 8)

Publication Date:

Authors : ; ; ;

Page : 1115-1118

Keywords : Vibrio Cholerae; criteria; hygiene; basic reproduction number; concentration of toxigenic; therapeutic treatment; sanitary measures;

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Abstract

The mode of spread and transmission of cholera is very vital in considering appropriate measures for its control. The dynamics of cholera is analysed in this study using a system of four differential equations with two control measures and , which are; therapeutic treatment and sanitary measures respectively. A zero Vibrio Cholerae bacteria environment was first assumed and analysed establishing disease free equilibrium state (DFE), which is interpreted as . Epidemic equilibrium state assumed as was then obtained after analysing the non-zero Vibrio Cholerae bacteria environment. This established the fact that; measures aimed at reducing Vibrio Cholerae bacteria in the environment will in turn reduce or control cholera.

Last modified: 2014-09-29 21:56:57