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.