Complex dynamical behavior of a discretize fractional-order multi-drug antimicrobial resistance model

Abstract

In this paper, we proposed and investigated a discretized form of a fractional-order multi-drug antimicrobial resistance model. The existence and the uniqueness of the proposed model is studied. The impacts of varying the parameters of the system are examined. Under certain conditions, the system undergoes some kinds of bifurcations. It is established that the fractional-order parameter affects the stability of the model. The model has an opulent diversity of dynamical behaviors such as Hopf bifurcation, chaotic attractors and attractor crisis. We used some numerical simulations to illustrate our analytical results.