The mathematical Nipah virus model with Atangana-Baleanu derivative
Abstract
The applicability of the Atangana-Baleanu derivative in modeling and assessing the dynamics of the Nipah virus is investigated in this paper. The Atangana-Baleanu derivative, a fractional derivative operator, is used in the mathematical model of the Nipah virus to add memory effects and non-local behaviour. To do this, we first use fixed point theory to establish the existence and uniqueness of the solutions for the fractional order model. Using various fractional order values, we got a number of numerical simulations emphasizing the significance of the aforementioned derivative. The findings of solving the Nipah virus (NiV) model using the Atangana-Baleanu derivative provide a better understanding of the dynamics and behaviors of the studied systems.
- Published
- 8 January 2024
- Volume
- 2024 (2024)
- License
- CC BY 3.0
Copyright © 2024 Arinze Luke Ozioko, Kekana Malesela, Sunday Igwe Scott Abang, Sunday Emmanuel Fadugba, Leonard Ikenna Ogbuagu, Remigius Okeke Aja, Godwin Christopher E. Mbah. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
A. L. Ozioko, K. Malesela, S. I. S. Abang, S. E. Fadugba, L. I. Ogbuagu, R. O. Aja, G. C. E. Mbah, The mathematical Nipah virus model with Atangana-Baleanu derivative, Commun. Math. Biol. Neurosci. 2024 (2024), 1. https://doi.org/10.28919/cmbn/8286
BibTeX
@article{Ozioko2024,
author = {Ozioko, Arinze Luke and Malesela, Kekana and Abang, Sunday Igwe Scott and Fadugba, Sunday Emmanuel and Ogbuagu, Leonard Ikenna and Aja, Remigius Okeke and Mbah, Godwin Christopher E.},
title = {The mathematical Nipah virus model with Atangana-Baleanu derivative},
journal = {Commun. Math. Biol. Neurosci.},
volume = {2024},
year = {2024},
pages = {1},
doi = {10.28919/cmbn/8286}
}