Transmission Dynamics of Infectious Diseases by Immigrants in a Vaccinated and Temporary Immune Protected Population

Simple item page
dc.contributor.authorMlyashimbi, Helikumi
dc.contributor.authorMassawe, Estomih S.
dc.contributor.authorMakinde, Oluwole D.
dc.date.accessioned2016-06-26T17:11:22Z
dc.date.available2016-06-26T17:11:22Z
dc.date.issued2011
dc.description.abstractIn this paper, a mathematical model of infectious diseases by immigrants in a vaccinated and temporary immune protected population has been investigated. The model incorporates the assumption that immigrant individuals enter in the respective population with an immunity received from either vaccination or recover from the disease. The stability of the system has been analyzed for the existence of the disease-free and endemic equilibrium points, and it has been shown that the disease free equilibrium point is asymptotically stable when an effective reproduction number is less than unity and unstable when an effective reproduction number is greater than unity. From the analysis of the model, it is shown that vaccination coverage is greater than the vaccination; otherwise the disease will persist within the community. It is also shown that the increase of immigrants in a population tends to lower the first dose-vaccination coverage, hence the disease become endemic in the population. Numerical simulations of the model showed that in the absence of the immigrants, the disease can be eradicated in a population with a single-dose vaccination only.en_US
dc.identifier.citationMlyashimbi, H., Massawe, E.S. and Makinde, D., 2011. Transmission dynamics of infectious diseases by immigrants in a vaccinated and temporary immune protected population. African Journal of Mathematics and Computer Science Research, 4(2), pp.71-83.en_US
dc.identifier.issn2006-9731
dc.identifier.urihttp://hdl.handle.net/20.500.11810/2698
dc.language.isoenen_US
dc.publisherAcademic Journalsen_US
dc.subjectImmune protectionen_US
dc.subjectInfectious diseasesen_US
dc.subjectInfections by immigrantsen_US
dc.subjectDisease transmissionen_US
dc.subjectRecovered individualsen_US
dc.subjectVaccinated populationen_US
dc.titleTransmission Dynamics of Infectious Diseases by Immigrants in a Vaccinated and Temporary Immune Protected Populationen_US
dc.typeJournal Article, Peer Revieweden_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Transmission dynamics of infectious diseases by immigrants in a vaccinated and temporary immune protected population.pdf
Size:
488.06 KB
Format:
Adobe Portable Document Format
Description:
Full text
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
Department of Mathematics