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.

中文翻译：

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离散分数阶多药抗药性模型的复杂动力学行为

在本文中，我们提出并研究了分数阶多药抗药性模型的离散形式。研究了该模型的存在性和唯一性。研究了改变系统参数的影响。在某些条件下，系统会发生某些分歧。确定了分数阶参数会影响模型的稳定性。该模型具有丰富的动力学行为多样性，例如Hopf分叉，混沌吸引子和吸引子危机。我们使用一些数值模拟来说明我们的分析结果。