Open AccessBehavior of a Discrete Fractional Order SIR Epidemic Model
Author(s) -
A. George Maria Selvam,
D. Abraham Vianny
Publication year - 2018
Publication title -
international journal of engineering and technology
Language(s) - English
Resource type - Journals
ISSN - 2227-524X
DOI - 10.14419/ijet.v7i4.10.21310
Subject(s) - phase portrait , epidemic model , equilibrium point , bifurcation , basic reproduction number , series (stratigraphy) , statistical physics , mathematics , order (exchange) , bifurcation diagram , point (geometry) , mathematical economics , mathematical analysis , physics , demography , economics , geometry , geology , sociology , nonlinear system , population , paleontology , finance , quantum mechanics , differential equation
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.