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Study of Fractional Order Dynamical System of Viral Infection Disease under piecewise derivative

Computer Modeling in Engineering & Sciences 2023年第7期136卷 921-941页

作者： Kamal Shah Hafsa Naz Thabet Abdeljawad Bahaaeldin Abdalla Department of Mathematics and Sciences Prince Sultan UniversityP.O.Box 66833Riyadh11586Saudi Arabia Department of Mathematics University of MalakandChakdara Dir(L)Khyber Pakhtunkhwa18000Pakistan Department of Medical Research China Medical UniversityTaichung40402Taiwan

This research aims to understand the fractional order dynamics of the deadly Nipah virus(NiV)*** focus on using piecewise derivatives in the context of classical and singular kernels of power operators in the Caputo sense to investigate the crossover behavior of the considered dynamical *** establish some qualitative results about the existence and uniqueness of the solution to the proposed *** utilizing the Newtonian polynomials interpolation technique,we recall a powerful algorithm to interpret the numerical findings for the aforesaid ***,we remark that the said viral infection is caused by an RNA type virus which can transmit from animals and also from an infected person to *** bats which are also known as flying foxes are one of the sources of transmission of NiV *** in this work,we investigate its transmission mechanism through some new concepts of fractional calculus for further analysis and *** present the approximate results for different compartments using different fractional *** using the piecewise derivative concept,we detect the crossover ormulti-steps behavior in the transmission dynamics of the mentioned ***,the considered form of the derivative is used to deal with problems exhibiting crossover behaviors.

关键词： NiV disease fractional calculus piecewise derivative qualitative results newton polynomial RNA virus

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