Modeling and Stability Analysis for Measles Metapopulation Model with Vaccination

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dc.contributor.author Mpande, Leopard C.
dc.contributor.author Kajunguri, Damian
dc.contributor.author Mpolya, Emmanuel A.
dc.date.accessioned 2019-05-17T10:33:18Z
dc.date.available 2019-05-17T10:33:18Z
dc.date.issued 2015-10-22
dc.identifier.issn 2328-5613
dc.identifier.uri doi: 10.11648/j.acm.20150406.16
dc.identifier.uri http://dspace.nm-aist.ac.tz/handle/123456789/72
dc.description Research Article published by Science Publishing Group en_US
dc.description.abstract In this paper, a metapopulation model is formulated as a system of ordinary differential equations to study the impact of vaccination on the spread of measles. The disease-free equilibrium is computed and proved to be locally and globally asymptotically stable if 1 C R < and unstable if 1 C R > . We show that when there are no movements between the two patches, there exists at least one endemic equilibrium for all 1 Ci R > and bifurcation analysis of endemic equilibrium point proves that forward (supercritical) bifurcation occurs in each patch. Numerical simulation results are also presented to validate analytical results and to show the impact of vaccination on the incidence and prevalence of measles in a metapopulation. en_US
dc.language.iso en_US en_US
dc.publisher Science Publishing Group en_US
dc.subject Vaccination en_US
dc.subject Bifurcation Analysis en_US
dc.title Modeling and Stability Analysis for Measles Metapopulation Model with Vaccination en_US
dc.type Article en_US

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