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2014 On Fractional SIRC Model with Salmonella Bacterial Infection
Fathalla A. Rihan, Dumitru Baleanu, S. Lakshmanan, R. Rakkiyappan
Abstr. Appl. Anal. 2014: 1-9 (2014). DOI: 10.1155/2014/136263

Abstract

We propose a fractional order SIRC epidemic model to describe the dynamics of Salmonella bacterial infection in animal herds. The infection-free and endemic steady sates, of such model, are asymptotically stable under some conditions. The basic reproduction number 0 is calculated, using next-generation matrix method, in terms of contact rate, recovery rate, and other parameters in the model. The numerical simulations of the fractional order SIRC model are performed by Caputo’s derivative and using unconditionally stable implicit scheme. The obtained results give insight to the modelers and infectious disease specialists.

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Fathalla A. Rihan. Dumitru Baleanu. S. Lakshmanan. R. Rakkiyappan. "On Fractional SIRC Model with Salmonella Bacterial Infection." Abstr. Appl. Anal. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/136263

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07021781
MathSciNet: MR3200766
Digital Object Identifier: 10.1155/2014/136263

Rights: Copyright © 2014 Hindawi

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