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

Haidong Qu, Sayed Saifullah, Javed Khan, Arshad Khan, Mati Ur Rahman and Gengzhong Zheng
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Haidong Qu: Department of Mathematics, Hanshan Normal University, Chaozhou 515041, P. R. China
Sayed Saifullah: ��Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan
Javed Khan: ��Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan
Arshad Khan: ��Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan
Mati Ur Rahman: ��School of Mathematical Science, Shanghai Jiao Tong University, Shanghai, P. R. China
Gengzhong Zheng: Department of Mathematics, Hanshan Normal University, Chaozhou 515041, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 08, 1-15

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: Leptospirosis Disease Model; Piecewise Operators; Existence Theory; Newton Polynomial Method (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22402162

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