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Variable-Order Hybrid COVID-19 Mathematical Model with Time Delay; Numerical Treatments |
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PP: 615-626 |
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doi:10.18576/pfda/100408
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Author(s) |
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Nasser Hassan Sweilam,
Afaf Saleh Zaghrout,
Nagma Younes Ali,
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Abstract |
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| In this paper, a variable-order fractional (VOF) hybrid COVID-19 mathematical model with time delay is presented, where its operator can be written as a combination of VOF derivative of Caputo and VOF integral of Riemann-Liouville (RL), where a new parameter θ consistent with the physical model problem is introduced. The positivity of the solutions and the local stability of disease- free equilibrium (DFE) of the present model are discussed. Theta nonstandard finite difference method (Θ NFDM) is used to study numerically the model problem. Particular attention is given to investigating the stability of this method. Several numerical experiments are performed with different values of variable-order derivative and time delay.
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