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dc.contributor.authorNgari, Cyrus G.
dc.contributor.authorMalonza, David M.
dc.contributor.authorMuthuri, Grace G.
dc.date.accessioned2018-07-10T13:53:28Z
dc.date.available2018-07-10T13:53:28Z
dc.date.issued2014
dc.identifier.citationJournal of Life Sciences Research Vol. 1, No. 2, 31-40en_US
dc.identifier.issn2408-9184
dc.identifier.urihttp://hdl.handle.net/123456789/1776
dc.description.abstractThis paper presents a deterministic model for pneumonia transmission and uses the model to assess the potential impact of therapy. The model is based on the Susceptible-Infected-Treatment-Susceptible compartmental structure with the possibility of infected individual recovering from natural immunity. Important epidemiological thresholds such as the basic and control reproduction numbers ( 𝑅𝑜and 𝑅𝑐 respectively) and a measure of treatment impact are derived. Infection free point was found to be locally stable but globally unstable. We found that if the control reproduction number is greater than unity, then there is a unique endemic equilibrium point and it is less than unity, the endemic equilibrium point is globally asymptotically stable, and pneumonia will be eliminated. Numerical simulations using Matlab software suggest that, besides the parameters that determine the basic reproduction number, natural immunity plays an important role in pneumonia transmissions and magnitude of the public health impact of therapy. Further, treatment regimens with better efficacy holds great promise for lowering the public health burden of pneumonia disease.en_US
dc.language.isoenen_US
dc.publisherAsian online journalsen_US
dc.subjectBasic reproduction numberen_US
dc.subjectControl reproduction numberen_US
dc.subjectInfection free pointen_US
dc.subjectEndemic equilibrium pointen_US
dc.subjectLocal and global stability of equilibrium pointsen_US
dc.titleA model for childhood Pneumonia Dynamicsen_US
dc.typeArticleen_US
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