Formulation of Mathematical Model for TB Transmission in Zoonotic Areas with Existence of Endemic Equilibrium

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dc.contributor.authorMwenyeheri, Thomas
dc.contributor.authorShaban, Nyimvua
dc.contributor.authorHove-Msekwa, Doroth
dc.contributor.authorChibaya, Symon B.
dc.contributor.authorNgadaya, Esther
dc.contributor.authorMfinanga, Sayoki
dc.date.accessioned2016-09-21T17:13:10Z
dc.date.available2016-09-21T17:13:10Z
dc.date.issued2014
dc.description.abstractA mathematical model incorporating animal TB and Human TB transmission is formulated and analysed in order to determine the role of animal TB and human TB in the overall TB transmission and also, to determine the parameters which govern the transmission of the TB disease. The model has five classes namely susceptible, exposed animal TB, and exposed human TB, infectious and recovery. The model assumed that there are two classes for infected individuals, those who acquired TB through animal and those who acquire TB from human. Qualitative results show that the model has the disease-free equilibrium and at least one endemic equilibrium that is locally asymptotically stable. The study includes numerical simulations as a way of supporting the analytical results. Graphical results indicate that animal TB has major contribution on overall TB transmission and the TB transmission can be reduced by ensuring intervention to both Animal TB and Human TB. Furthermore the equations indicate that there is at least one endemic equilibrium which translates that t animal and human have the contribution on TB transmission. This shows that both animals and humans together with fast progressors have contribution on TB transmissions.en_US
dc.identifier.citationMwenyeheri, T., Shaban, N., Hove-Msekwa, D., Chibaya, S.B., Ngadaya, E. and Mfinanga, S., 2014. Formulation of Mathematical Model for TB Transmission in Zoonotic Areas with Existence of Endemic Equilibrium. Journal of Tuberculosis Research, 2(03), p.132.en_US
dc.identifier.doi10.4236/jtr.2014.23017
dc.identifier.urihttp://hdl.handle.net/20.500.11810/4143
dc.language.isoenen_US
dc.publisherScientific Research Publishingen_US
dc.subjectTBen_US
dc.subjectMathematical Modelingen_US
dc.subjectAnimalen_US
dc.subjectHumanen_US
dc.subjectDiseases Free-Equilibriumen_US
dc.subjectEndemic Equilibriumen_US
dc.titleFormulation of Mathematical Model for TB Transmission in Zoonotic Areas with Existence of Endemic Equilibriumen_US
dc.typeJournal Article, Peer Revieweden_US
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