Analytical model for childhood pneumonia, a case study of Kenya

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dc.contributor.authorNgari, Cyrus G.
dc.contributor.authorPokhariyal, G. P.
dc.contributor.authorKoske, J. K.
dc.date.accessioned2018-07-10T13:39:22Z
dc.date.available2018-07-10T13:39:22Z
dc.date.issued2016
dc.description.abstractPneumonia is an infection of the lungs that is caused by bacteria, viruses, fungi, or parasites. For a long time to the best of our knowledge there have not been reliable mathematical model for childhood pneumonia in Kenya. This research study developed a deterministic model based on the Susceptible- Vaccinated-Infected-Treated-Recovered-Susceptible compartment classes. The study used the partial differentiation of control reproduction number toinvestigate effects of; environment, efficacy of vaccination drug and treatment. Model analysis indicates the system lie in feasible region, it is bounded, has no backward bifurcation and there exists unique endemic equilibrium point when control reproduction number is greater than unity. Local and global stability of the equilibrium points indicated that control reproduction has to be maintained at less than unity to eradicate the disease. Sensitivity analysis of the control reproduction number indicates that improved vaccination drug’s efficacy, attaining herd immunity, higher treatment rates and lower effects of environment are the best intervention strategies to lower impact of the pneumonia of the children under the age of five years in Kenya.en_US
dc.identifier.citationBritish Journal of Mathematics & Computer Science 12(2): 1-28,en_US
dc.identifier.issn2231-0851
dc.identifier.urihttp://hdl.handle.net/123456789/1775
dc.language.isoenen_US
dc.publisherScience Domain Internationalen_US
dc.subjectControl reproduction numberen_US
dc.subjectherd immunityen_US
dc.subjectsensitivity analysisen_US
dc.subjectdisease free equilibrium point (DFE)en_US
dc.subjectendemic equilibrium point (EEP)en_US
dc.subjectlocal and global stabilityen_US
dc.titleAnalytical model for childhood pneumonia, a case study of Kenyaen_US
dc.typeArticleen_US
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