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Abstract：
This study introduces a fractional order model to investigate the dynamics of polio disease spread, focusing on its significance, unique results, and conclusions. We emphasize the importance of understanding polio transmission dynamics and propose a novel approach using a fractional order model with an exponential decay kernel. Through rigorous analysis, including existence and stability assessment applying the Caputo Fabrizio fractional operator, we derive key insights into the disease dynamics. Our findings reveal distinct disease-free equilibrium (DFE) and endemic equilibrium (EE) points, shedding light on the disease\'s stability. Furthermore, graphical representations and numerical simulations demonstrate the behavior of the disease under various parameter values, enhancing our understanding of polio transmission dynamics. In conclusion, this study offers valuable insights into the spread of polio and contributes to the broader understanding of infectious disease dynamics.
摘要：
这项研究引入了分数阶模型来研究脊髓灰质炎疾病传播的动态，专注于它的意义，独特的结果，和结论。我们强调了解脊髓灰质炎传播动力学的重要性，并提出了一种使用具有指数衰减核的分数阶模型的新颖方法。经过严格的分析,包括应用CaputoFabrizio分数阶算子的存在性和稳定性评估，我们得出了疾病动态的关键见解。我们的发现揭示了不同的无病平衡点(DFE)和地方性平衡点(EE)，揭示疾病的稳定性。此外，图形表示和数值模拟证明了疾病在各种参数值下的行为，加强我们对脊髓灰质炎传播动态的理解。总之,这项研究为脊髓灰质炎的传播提供了有价值的见解，并有助于更广泛地了解传染病的动态。
