In the present work, a discretized fractional-order SIR model for an Inﬂuenza A viruses is derived. The basic reproductive number R0 is deﬁned and the dynamic behavior of the discretized model is investigated. Local stability of both the disease free equilibrium and the endemic equilibrium is investigated. Equations and inequalities of critical bifurcation surfaces at the disease free equilibrium are given. Numerical simulations are performed to assure the analytical results obtained and to reveal the complex dynamics of the discretized model.
Digital Object Identifier (DOI)
Moussa Salman, Sanaaa
"On a Discretized Fractional-Order SIR Model for Inﬂuenza A Viruses,"
Progress in Fractional Differentiation & Applications: Vol. 3
, Article 14.
Available at: https://dc.naturalspublishing.com/pfda/vol3/iss2/14