Characterizing the behavior of solutions in a fractal-fractional model of bovine brucellosis in cattle

Bovine brucellosis is a highly contagious disease caused by the bacteria Brucella abortus. It primarily affects cattle but, can also infect other livestock and wildlife. This zoonotic disease is significant in veterinary and public health due to its economic impact on livestock industries and the potential for human infection. Furthermore, this disease is transmitted from animals to humans, typically by consuming the contaminated dairy products or by getting in contact with infected tissues. This research aims at developing a mathematical model with fractal-fractional order for bovine brucellosis in cattle that incorporates the vaccination and biosecurity procedures. We explore the intricacies of bovine brucellosis in cattle, utilizing a mathematical model that integrates spread patterns and treatment through the Liouville Caputo-Fractal Fractional (LC-FF) derivative. The existence of a unique solution is confirmed for the mathematical model under LC-FF derivative. This fractal-fractional order mathematical model is solved numerically using Lagrangian piecewise interpolation method, accompanied by numerical simulations at different fractal-fractional order. As a crucial part of our analysis, we also confirm the Hyers-Ulam stability of the defined model, underscoring its resilience and dependability.