Mathematical model for pneumonia dynamics among children

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dc.creatorOng’ala, Jacob Otieno
dc.creatorMugisha , Joseph
dc.creatorOdhiambo, John W.
dc.date06/13/2013
dc.dateThu, 13 Jun 2013
dc.dateThu, 13 Jun 2013 13:00:11
dc.dateThu, 13 Jun 2013 13:05:41
dc.date.accessioned2015-03-18T11:29:01Z
dc.date.available2015-03-18T11:29:01Z
dc.descriptionThe 2012 Southern Africa mathematical sciences association Conference (SAMSA 2012)26th -29th Nov 2012
dc.descriptionThere are major advances which have been made to understand the epidemiology of infectious diseases. However, more than 2 million children in the developing countries still die from pneumonia each year. The eorts to promptly detect, eectively treat and control the spread of pneumonia is possible if its dynamics is understood. In this paper,we develop a mathematical model for pneumonia among children underve years of age. The model is analyzed using the theory of ordinary dierential equations and dynamical systems. We derive the basic reproduction number, R0, analyze the stability of equilibrium points and bifurcation analysis. The results of the analysis shows that there exist a locally stable disease free equilibrium point, Ef when R0 < 1 and a unique endemic equilibrium, Ee when R0 > 1.The analysis also shows that there is a possibility of a forward bifurcation.
dc.formatNumber of Pages:18 p.
dc.identifier.urihttp://hdl.handle.net/11071/3615
dc.languageeng
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dc.subjectPneumonia Model
dc.subjectBasic reproduction number
dc.subjectforward bifurcation
dc.subjectStability
dc.subjectCarriers
dc.titleMathematical model for pneumonia dynamics among children
dc.typeConference Paper
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