Modeling and Stability Analysis for Measles Metapopulation Model with Vaccination
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Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
Applied and Computational Mathematics
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.
Description
Keywords
Vaccination, Metapopulation, Measles, Bifurcation Analysis
Citation
Mpande, L. C., Kajunguri, D., & Mpolya, E. A. (2015). Modeling and stability analysis for measles metapopulation model with vaccination.