FRACTIONAL DYNAMICS OF CHRONIC LYMPHOCYTIC LEUKEMIA WITH THE EFFECT OF CHEMOIMMUNOTHERAPY TREATMENT

Rashid Jan (), Normy Norfiza Abdul Razak, Sultan Alyobi, Zaryab Khan, Kamyar Hosseini, Choonkil Park, Soheil Salahshour and Siriluk Paokanta
Additional contact information
Rashid Jan: Department of Civil Engineering, Institute of Energy Infrastructure (IEI), College of Engineering, Universiti Tenaga Nasional (UNITEN), Putrajaya Campus, Jalan Ikram-Uniten, 43000 Kajang, Selangor, Malaysia
Normy Norfiza Abdul Razak: Department of Civil Engineering, Institute of Energy Infrastructure (IEI), College of Engineering, Universiti Tenaga Nasional (UNITEN), Putrajaya Campus, Jalan Ikram-Uniten, 43000 Kajang, Selangor, Malaysia
Sultan Alyobi: Department of Mathematics, College of Science and Arts, King Abdulaziz University, Rabigh, Saudi Arabia
Zaryab Khan: Department of Mathematics, University of Swabi, Swabi 23561, KPK Pakistan
Kamyar Hosseini: Department of Mathematics, Near East University TRNC, Mersin 10, Turkey5Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon
Choonkil Park: Research Institute for Natural Sciences, Hanyang University, Seoul 04763, South Korea
Soheil Salahshour: Faculty of Engineering and Natural Sciences, Istanbul Okan University, Istanbul, Turkey8Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey9Faculty of Science and Letters, Piri Reis University, Tuzla, Istanbul, Turkey
Siriluk Paokanta: 0School of Science, University of Phayao, Phayao 56000, Thailand

FRACTALS (fractals), 2024, vol. 32, issue 02, 1-16

Abstract: Currently, immunotherapy is seen to be the most effective cancer treatment. This is especially true while treating chronic lymphocytic leukemia (CLL), a slow-growing B-lymphocyte neoplasm that gradually compromises the immune system. Mathematical modeling is acknowledged as a key technique for analyzing theoretical and practical challenges in this field of cancer research and others. We were inspired to develop a mathematical model because of its dearth in investigations of chemotherapy-induced immunotherapy for CLL. This study effort formulates the dynamics of lymphocytic leukemia utilizing fractional calculus to conceptualize the complex processes of this viral illness. The basic idea of fractional calculus has been shown using the Atangana–Baleanu framework. For the suggested model’s chaotic and dynamic behavior, a new numerical approach is described. We inspect the stability and convergence of the suggested numerical technique in our work. The fluctuation of various system input elements has demonstrated the oscillatory and chaotic behavior of the system. Moreover, we have demonstrated how the suggested mechanism of lymphocytic leukemia infection is affected by fractional order. Through numerical simulations, the most important input parameters are emphasized, and the policymakers are given control intervention suggestions.

Keywords: Lymphocytic Leukemia; Fractional Dynamics; Atangana–Baleanu Derivative; Numerical Method; Stability Analysis; Chaotic Phenomena (search for similar items in EconPapers)
Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X24400127
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:32:y:2024:i:02:n:s0218348x24400127

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X24400127

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 ().