Fractional-order rat bite fever model: a mathematical investigation into the transmission dynamics

Abstract

The fractional ordered mathematical model offers more insights compared to integer order models. In this work, we analyzed fractional order rat bite fever model. We employ the Adams–Bashforth–Moulton method in conjunction with fractional-order derivatives in the Caputo sense to study the model. The work demonstrates how fractional derivative models offer an increased degree of flexibility to investigate memory effects and illness dynamics for a particular data set. Further, an analysis of the aforementioned model including its existence, uniqueness, and stability is considered. The distinct parameter estimation for every value of the fractional order highlights the importance of this work.