Exploring the dynamics of rabies epidemic model using Caputo-Fabrizio derivative under treatment and vaccination.

The public has been greatly impacted by the spread of the rabies virus, which highlights the importance of studying its transmission in epidemiology. In this article, we developed a Caputo-Fabrizio fractional derivative model for rabies spread, incorporating the impact of awareness on vaccination and treatment. Existence and uniqueness of solutions are established using a fixed-point theorem, and threshold values with equilibrium stability are analysed. The influence of awareness on infected populations is examined. Numerical simulations illustrate the effects of awareness, vaccination, treatment rates, and derivative orders, with comparisons between fractional and integer-order models.