A fractal-fractional model for brain disorders associated with rabies infection dynamical transmission and modeling

Rabies is a neurotropic virus that poses a significant public health danger in the 21st century, causing progressive encephalomyelitis. It is still a neglected zoonotic disease, found worldwide and responsible for many deaths in Africa and Asia. In this paper, a fractional-order nonlinear model is presented that observes the dynamics of the rabies virus through human-animal interactions. Qualitative analysis and existence theory results are developed for the model. The Ulam-Hyers method is used to undertake stability analysis. The basic reproductive number ([Formula: see text]) and its chaos properties are analyzed according to the equilibrium states. Newton's polynomial method is used with the Mittag-Leffler kernel for numerical simulations according to different fractal dimension and fractal order values for memory effect and dynamic behavior of the system. Forecasting strengths of the modeling results are helpful for researchers and livestock healthcare institutions to take preventative steps to control disease in society.