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A New Fractional Modelling on Susceptible-Infected-Recovered Equations with Constant Vaccination Rate

A New Fractional Modelling on Susceptible-Infected-Recovered Equations with Constant Vaccination... AbstractIn this article, the authors introduce a fractionalorder SIR model with constant vaccination rate. The SIRmodel has been used in the modeling of several epidemiologicaldiseases, biology and medical sciences. Qualitativeresults show that the model has two equilibria; the diseasefree equilibrium and the endemic equilibrium points. Thelocal stability of the model for fractional order time derivativeis analyzed using fractional Routh-Hurwitz stabilitycriterion. The fractional derivative is described in Caputosense. The results obtained through numerical procedureshow that the method is effective and reliable. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Engineering de Gruyter

A New Fractional Modelling on Susceptible-Infected-Recovered Equations with Constant Vaccination Rate

Nonlinear Engineering , Volume 3 (1): 9 – Mar 1, 2014

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Publisher
de Gruyter
Copyright
© 2014 by Walter de Gruyter GmbH & Co.
ISSN
2192-8029
eISSN
2192-8029
DOI
10.1515/nleng-2013-0021
Publisher site
See Article on Publisher Site

Abstract

AbstractIn this article, the authors introduce a fractionalorder SIR model with constant vaccination rate. The SIRmodel has been used in the modeling of several epidemiologicaldiseases, biology and medical sciences. Qualitativeresults show that the model has two equilibria; the diseasefree equilibrium and the endemic equilibrium points. Thelocal stability of the model for fractional order time derivativeis analyzed using fractional Routh-Hurwitz stabilitycriterion. The fractional derivative is described in Caputosense. The results obtained through numerical procedureshow that the method is effective and reliable.

Journal

Nonlinear Engineeringde Gruyter

Published: Mar 1, 2014

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