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Fractional-Order Delayed Salmonella Transmission Model: A Numerical Simulation |
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PP: 63-76 |
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doi:10.18576/pfda/080104
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Author(s) |
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Nasser H. Sweilam,
Abdelhameed M. Nagy,
Laila E. Elfahri,
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Abstract |
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| In this paper, a fractional dynamical model of Salmonella with time delay is studied
numerically. The proposed model is administered by a system of fractional delay differential
equations, where the fractional derivative is defined in the sense of the Caputo definition.
The parameters are modified regarding to the order of the fractional derivative. The stability
of the disease free equilibrium point and endemic equilibrium point is investigated for any
time delay. Weighted difference numerical technique is introduced to simulate the proposed
model. This scheme was unconditionally stable when the weight factor is less than 1.
Numerical simulations with some comparison are introduced to show the applicability and
effectivity of the proposed method to solve such stiff systems of fractional delay differential
equations and to confirm the theoretical studies. |
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