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- Title
Dynamical study of varicella-zoster virus model in sense of Mittag-Leffler kernel.
- Authors
Ain, Qura Tul; Khan, Aziz; Abdeljawad, Thabet; Gómez-Aguilar, J. F.; Riaz, Saleem
- Abstract
The primary varicella-zoster virus (VZV) infection that causes chickenpox (also known as varicella), spreads quickly among people and, in severe circumstances, can cause to fever and encephalitis. In this paper, the Mittag-Leffler fractional operator is used to examine the mathematical representation of the VZV. Five fractional-order differential equations are created in terms of the disease's dynamical analysis such as S: Susceptible, V: Vaccinated, E: Exposed, I: Infectious and R: Recovered. We derive the existence criterion, positive solution, Hyers–Ulam stability, and boundedness of results in order to examine the suggested fractional-order model's wellposedness. Finally, some numerical examples for the VZV model of various fractional orders are shown with the aid of the generalized Adams–Bashforth–Moulton approach to show the viability of the obtained results.
- Subjects
VARICELLA-zoster virus; CHICKENPOX; DIFFERENTIAL equations
- Publication
International Journal of Biomathematics, 2024, Vol 17, Issue 3, p1
- ISSN
1793-5245
- Publication type
Article
- DOI
10.1142/S1793524523500274