A model for childhood pneumonia dynamics

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dc.contributor.author Ngari, Cyrus G.
dc.contributor.author Malonza, David M.
dc.contributor.author Muthuri, Grace G.
dc.date.accessioned 2025-07-11T07:21:37Z
dc.date.available 2025-07-11T07:21:37Z
dc.date.issued 2014-06-04
dc.identifier.citation Journal of life sciences research, volume 1, issue 2, 2014 en_US
dc.identifier.issn 2408-9184
dc.identifier.uri http://asianonlinejournals.com/index.php/Lifsc/article/view/600/594
dc.identifier.uri http://repository.seku.ac.ke/xmlui/handle/123456789/8108
dc.description.abstract This 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 ( R_oand R_c 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.iso en en_US
dc.subject Basic reproduction number en_US
dc.subject Control reproduction number en_US
dc.subject Infection free point en_US
dc.subject Endemic equilibrium point en_US
dc.subject Local and global stability of equilibrium points en_US
dc.title A model for childhood pneumonia dynamics en_US
dc.type Article en_US


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