MATHEMATICAL MODEL OF TUBERCULOSIS TRANSMISSION WITH RECCURENT INFECTION AND VACCINATION

Assefa, Denekew Zewdie

dc.contributor.author	Assefa, Denekew Zewdie
dc.date.accessioned	2017-08-03T10:23:14Z
dc.date.available	2017-08-03T10:23:14Z
dc.date.issued	2017-08-03
dc.identifier.uri	http://hdl.handle.net/123456789/7561
dc.description	A Dissertation Submitted In Partial Fulfillment ofthe Requirements for the Degree of Master ofScience in Mathematics	en_US
dc.description.abstract	This project presents a model of Tuberculosis transmission with reccurent infection and vaccination. The mathematical model on dynamics of Mycobacterium Tuberculosis was discussed to assess the impact of vaccination. The non-endemic equilibrium point, the basic reproduction number and the vaccination reproduction number are analyzed. The results of the analysis showed that, the disease free equilibrium which is locally asymptotically stable for Ro< 1 and the endemic equilibrium that is locally asymptotically stable for R > 1. At the end the numerical computation was done and it shows that the presence of vaccination is capable to reduce fast the number of latent (exposed) and infectious populations in non-endemic time and increase the number of recovered population in endemic time and non-endemic time.	en_US
dc.subject	Mathematics	en_US
dc.title	MATHEMATICAL MODEL OF TUBERCULOSIS TRANSMISSION WITH RECCURENT INFECTION AND VACCINATION	en_US
dc.type	Thesis	en_US