MATHEMATICAL MODELING OF CHOLERA EPIDEMIC

MEZGEBU, ASRESS

dc.contributor.author	MEZGEBU, ASRESS
dc.date.accessioned	2019-09-19T04:36:42Z
dc.date.available	2019-09-19T04:36:42Z
dc.date.issued	2019-09-19
dc.identifier.uri	http://hdl.handle.net/123456789/9685
dc.description.abstract	Abstract In this project, a mathematical model for cholera epidemic is presented and analyzed in order to determine effects of the control measures. The epidemic threshold known as the basic reproduction number and equilibrium for the models are determined. Basic properties and stability analysis of the model is carried out. We also considered a situation where the control measures were introduced simultaneously into the model. The analytical predictions were confirmed by numerical simulation results. These solutions show the behavior of the population in time t. We proved that the disease free equilibrium is locally asymptotically stable under prescribed conditions on the given parameters. Numerical approximations are carried out using parameter values from published data to investigate the effect of transmission parameters on the dynamics of the infection. We simulated cases with control and without control strategies. Generally from this project we understand that Control measures are reduces the rate of the spread of the disease.	en_US
dc.language.iso	en_US	en_US
dc.subject	Mathematics	en_US
dc.title	MATHEMATICAL MODELING OF CHOLERA EPIDEMIC	en_US
dc.type	Thesis	en_US