Mathematical analysis and simulations for a Caputo-Fabrizio fractional COVID-19 model

Faculty Science Year: 2023
Type of Publication: ZU Hosted Pages: 1-12
Authors:
Journal: Partial Differential Equations in Applied Mathematics Springer Volume: 100558
Keywords : Mathematical analysis , simulations , , Caputo-Fabrizio fractional COVID-19    
Abstract:
In this paper, a novel approach for modeling the spread of highly infectious and dangerous viruses, particularly focusing on the COVID-19 pandemic is presented. The proposed model is a fractional demand numerical model of the Caputo-Fabrizio type, which offers more nuanced and comprehensive insights into the multidimensional nature of the virus’s behavior compared to previously established full-number solicitation models. One of the significant advantages of the proposed fractional model is that it provides more constantly variable and substantial information about the virus’s multidimensional nature. This means that researchers and policymakers can better understand the virus’s behavior, its mechanisms of transmission, and the factors that influence its spread. This will develop more effective strategies for containing and mitigating the spread of the virus. The proposed model’s key attributes are developed, and the existence and uniqueness of the solution are examined through the fixed-point theorem. This ensures that the obtained solution exists and is unique. The solution of the compartments of the model is produced using explicit boundary respects, which enables the researchers to analyze the dynamics of the virus’s spread with greater precision and accuracy. The acquired solution appears novel, whihc proves the ability of the internal technique to be extended to other nonlinear biological models. The outcomes we acquired are perfect, whether from an analytical or numerical point of view. Additionally, the numerical results are entirely consistent with the analytical developments which can be extended in the future to a more complex model.
   
     
 
       

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