Modelling childhood disease outbreak in a community with inflow of susceptible and vaccinated new-born

Simple item page
dc.contributor.authorYano, T.P.
dc.contributor.authorOluwole, D.M.
dc.contributor.authorMalonza, D.M.
dc.date.accessioned2016-12-08T12:28:58Z
dc.date.available2016-12-08T12:28:58Z
dc.date.issued2016
dc.descriptionResearch Articleen_US
dc.description.abstractThis paper investigates the transmission dynamics of a Childhood disease outbreak in a community with direct inflow of susceptible and vaccinated new-born. Qualitative analysis of the SEIR nonlinear model is performed for disease free and endemic equilibria using the stability theory of differential equations. The disease free state is found to be both locally and globally asymptotically stable when the vaccination reproductive number v R is less than unity. In addition, the model exhibits transcritical forward bifurcation phenomenon and the sensitivity indices of the vaccination reproductive number with respect to various model parameters is determined. Using the Adomian decomposition method (ADM) and the fourth order Runge-Kutta integration scheme (RK4), the semi-analytical and numerical solutions of the nonlinear model are obtained. Pertinent results are displayed graphically and in tabular form. A vaccination coverage threshold is obtained above which the disease will be effectively eliminated from the community.en_US
dc.description.sponsorshipThe Pan African Universityen_US
dc.identifier.citationGlobal Journal of Pure and Applied Mathematics. I Volume 12, Number 5 (2016), pp. 3895-3916; 0973-1768en_US
dc.identifier.isbn0973-1768
dc.identifier.urihttp://ir-library.ku.ac.ke/handle/123456789/15229
dc.language.isoenen_US
dc.publisherResearch India Publicationsen_US
dc.subjectChildhood diseasesen_US
dc.subjectEpidemiological modelen_US
dc.subjectVaccination coverageen_US
dc.subjectForward bifurcationen_US
dc.subjectSensitivity indicesen_US
dc.subjectAdomian decomposition methoden_US
dc.subjectRunge-Kutta integration schemeen_US
dc.titleModelling childhood disease outbreak in a community with inflow of susceptible and vaccinated new-bornen_US
dc.typeArticleen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Modeling Childhood Disease Outbreak in a Community with Inflow of Susceptible and Vaccinated New-born....pdf
Size:
1.06 MB
Format:
Adobe Portable Document Format
Description:
Full Text Article
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
RP-Department of Mathematics