MATHEMATICAL MODELING OF MALARIA TRANSMISSION, THE CASE OF WEST SHEWA ZONE, NONO WEREDA

dc.contributor.author	Diro Ana, Dagne
dc.contributor.author	Teshome, (PhD) Getachew
dc.contributor.author	Tefera, (PhD) Melisew
dc.date.accessioned	2021-02-16T03:28:55Z
dc.date.available	2021-02-16T03:28:55Z
dc.date.issued	2019-11
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/3523
dc.description	88p.	en_US
dc.description.abstract	A mathematical model for malaria transmission is developed using ordinary differential equations. We analyze stability of disease free equilibrium and endemic equilibrium. The disease free equilibrium is locally asymptotically stable, if ℜ0 < 1, and that the endemic equilibrium exist provided ℜ0 > 1. The basic reproduction number was obtained by using second generation matrix. It is used to determine whether the disease is persists or die out. Sensitivity analysis is also solved from basic reproduction number and used to identify the parameters which expand disease or control disease. Lastly numerical simulation is performed in order to check the effect of each parameter in the expansion as well as in control of malaria.	en_US
dc.description.sponsorship	Haramaya University	en_US
dc.language.iso	en	en_US
dc.publisher	Haramaya university	en_US
dc.subject	Mathematical model, basic reproduction number, disease free equilibrium and endemic equilibrium, stability analysis, invariant region, Positivity of Solutions and numerical simulation	en_US
dc.title	MATHEMATICAL MODELING OF MALARIA TRANSMISSION, THE CASE OF WEST SHEWA ZONE, NONO WEREDA	en_US
dc.type	Thesis	en_US