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On a Discretized Fractional-Order SIR Model for Influenza A Viruses |
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PP: 163-173 |
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doi:10.18576/pfda/030207
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Author(s) |
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Sanaaa Moussa Salman,
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Abstract |
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| 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. |
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