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Computational Analysis of Monkeypox Disease with Incident Infection Rate by using Fractal Operator |
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PP: 279-302 |
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doi:10.18576/pfda/110205
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Author(s) |
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Ali Hasan,
Muhammad Farman,
Abdul Sattar Ghaffari,
Faryal Chaudhry,
Hijaz Ahmad,
Muhammad Sultan,
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Abstract |
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| In this work, we proposed a fractional order Monkeypox virus model with Caputo Fabrizio fractional operator to investigate the dynamical transmission of the Monkeypox virus and its effects on society. Qualitative analysis of the model is examined such as the existence and uniqueness of Lipschitz conditions, including analysis of the endemic equilibrium and the disease-free and epidemic equilibrium points. Laplace transform with the Adomian decomposition method is used to construct the iterative scheme of the model. Self mapping with a unique solution with a fractional Lagrange multiplier is used for Picard stability under Banach space theory for the iterative scheme. It will be demonstrated through some numerical comparisons that the findings produced by the fractional order model are substantially more accurate than those of the integer order model when compared to some genuine data. In the end, we have also determined the numerical results proposed model utilizing the Laplace transform method having the fastest convergence approach to steady state point for such an epidemic model.
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