Study of Fractional Order Dynamical System of Viral Infection Disease under Piecewise Derivative

作     者：Kamal Shah Hafsa Naz Thabet Abdeljawad Bahaaeldin Abdalla 

作者机构：Department of Mathematics and SciencesPrince Sultan UniversityP.O.Box 66833Riyadh11586Saudi Arabia Department of MathematicsUniversity of MalakandChakdara Dir(L)Khyber Pakhtunkhwa18000Pakistan Department of Medical ResearchChina Medical UniversityTaichung40402Taiwan 

出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)

年 卷 期：2023年第136卷第7期

页      面：921-941页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Prince Sultan University  PSU 

主　　题：NiV disease fractional calculus piecewise derivative qualitative results newton polynomial RNA virus 

摘      要：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.