A NUMERICAL STUDY ON THE DYNAMICS OF DENGUE DISEASE MODEL WITH FRACTIONAL PIECEWISE DERIVATIVE

Javed Khan, Mati Ur Rahman, Muhammad Bilal Riaz and Jan Awrejcewicz
Additional contact information
Javed 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
Muhammad Bilal Riaz: ��Institute of Applied Mathematics, Faculty of Applied Physics and Mathematics, Gdansk University of Technology, 80-233 Gdańsk, Poland
Jan Awrejcewicz: �Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15, Stefanowskiego St., 90-924, Lodz, Poland

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

Abstract: The aim of this paper is to study the dynamics of Dengue disease model using a novel piecewise derivative approach in the sense of singular and non-singular kernels. The singular kernel operator is in the sense of Caputo, whereas the non-singular kernel operator is the Atangana–Baleanu Caputo operator. The existence and uniqueness of a solution with piecewise derivative are examined for the aforementioned problem. The suggested problem’s approximate solution was found using the piecewise numerical iterative Newton polynomial approach. In terms of singular and non-singular kernels, a numerical scheme for piecewise derivatives has been established. The numerical simulation for the piecewise derivable problem under consideration is drawn using data for various fractional orders. This work makes the idea of piecewise derivatives and the dynamics of the crossover problem clearer.

Keywords: Dengue Disease; Piecewise Derivative; Caputo Operator; Atangana–Baleanu Operator (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X22402605
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:30:y:2022:i:08:n:s0218348x22402605

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X22402605

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().