Behavior of a Discrete Fractional Order SIR Epidemic Model
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2018-10-02 
https://doi.org/10.14419/ijet.v7i4.10.21310
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Epidemic Model, Fractional Order, Stability, Bifurcation, Discretization Process. -
Abstract
In this paper we investigate the dynamical behavior of a SIR epidemic model of fractional order. Disease Free Equilibrium point, Endemic Equilibrium point and basic reproductive number are obtained. Time series plots, phase portraits and bifurcation diagrams are presented for suitable parameter values. Also some numerical examples are provided to illustrate the dynamics of the system.
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References
[1] Fred Brauer (2008), Mathematical Epidemiology, Springer.
[2] Leah Edelstein-Keshet (2005), Mathematical Model in Biology, SIAM, Random House, New York.
[3] K.S.Miller and B.Ross (1993), An Introduction to The Fractional Calculus and Fractional Differential Equations, John Wiley & Sons, INC .
[4] Keith B. Oldham and Jerome Spanier (1974), The Fractional Calculus Theory and Applications of Differentiation and Integration to Arbitrary Order, Dover Publications, INC, pp.1-234.
[5] Saber Elaydi (2008), An Introduction to Difference Equations, Third Edition, Springer International Edition, First Indian Reprint, pp.1-539.
[6] Ivo Petras (2010), Fractional order Nonlinear Systems-Modeling, Analysis and Simulation, Higher Education Press, Springer International Edition, pp. 1-218.
[7] Sanaaa Moussa Salman (2017), On a Discretized Fractional-Order SIR Model for Influenza, Progress in Fractional Differentiation and Application, Vol.3 , No.2, 163-173.
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How to Cite
George Maria Selvam, A., & Abraham Vianny, D. (2018). Behavior of a Discrete Fractional Order SIR Epidemic Model. International Journal of Engineering & Technology, 7(4.10), 675-680. https://doi.org/10.14419/ijet.v7i4.10.21310Received date: 2018-10-08
Accepted date: 2018-10-08
Published date: 2018-10-02