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DYNAMICS OF LEPTOSPIROSIS DISEASE IN CONTEXT OF PIECEWISE CLASSICAL-GLOBAL AND CLASSICAL-FRACTIONAL OPERATORS

HAIDONG QU

Department of Mathematics, Hanshan Normal University, Chaozhou 515041, P. R. China

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SAYED SAIFULLAH

Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan

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JAVED KHAN

Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan

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ARSHAD KHAN

Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan

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MATI UR RAHMAN

School of Mathematical Science, Shanghai Jiao Tong University, Shanghai, P. R. China

E-mail Address: mati-maths_374@sjtu.edu.cn

Corresponding author.

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, and

GENGZHONG ZHENG

Department of Mathematics, Hanshan Normal University, Chaozhou 515041, P. R. China

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https://doi.org/10.1142/S0218348X22402162Cited by:11 (Source: Crossref)

This article is part of the issue:

Special Issue on Piecewise Differentiation and Integration: A New Mathematical Approach to Capture Complex Real-World Problems with Crossover Behaviors
Lead Guest Editor: Abdon Atangana
Guest Editors: Emile Franc Doungmo Goufo, Kolade Matthew Owolabi, Seda Iğret Araz and Muhammad Bilal Riaz

Abstract

In this paper, we use newly introduced piecewise classical-global and classical-fractional operators to study the dynamics of the Leptospirosis disease model. The existence and uniqueness of the solution to piecewise derivatives are examined for the suggested problem. The piecewise iterative Newton polynomial method is used to obtain an approximate solution to the suggested problem. In addition, a numerical scheme for the piecewise Leptospirosis model with integer and fractional orders is established. The numerical simulation of the piecewise derivable problem under consideration is presented in classical as well as various fractional orders.

Keywords:

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Vol. 30, No. 08

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History

Received 20 February 2022

Accepted 20 April 2022

Published: September 9, 2022

Information

This is an Open Access article in the “Special issue on Piecewise Differentiation and Integration: A New Mathematical Approach to Capture Complex Real World Problems with Crossover Behaviors”, edited by Abdon Atangana (University of the Free State, South Africa), Emile Franc Doungmo Goufo (University of South Africa), Kolade Owolabi Matthiew (Federal University of Technology, Akura, Nigeria), Seda Iğret Araz (Siirt University, Turkey) & Muhammad Bilal Riaz (University of Management and Technology, Pakistan) published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC BY) License which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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DYNAMICS OF LEPTOSPIROSIS DISEASE IN CONTEXT OF PIECEWISE CLASSICAL-GLOBAL AND CLASSICAL-FRACTIONAL OPERATORS

Abstract

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