Mathematical analysis of an mABC Brucellosis dynamical system with diffusion

This article is highlighting the application of the mABC-fractional-order operator [Formula: see text] to the Brucellosis dynamical system of five compartments. The dynamical system is illustrating the zoonotic Brucellosis transmission between animal and human populations. The model is analyzed for the existence of solutions, stability, and uniqueness of solutions. Once these theoretical results are derived under certain assumptions, a novel numerical scheme is then constructed with the help of fractional order Euler’s approach. The scheme is applied to a case study, and graphical results are obtained for different transmission rates and orders. The computational results are then confirmed by the neural networking with an error estimation rounded by [Formula: see text] which shows good agreement between the targeted data sets and given input data.