Uniqueness, stability analysis and approximate solution of a fractional order COVID-19 Model

Authors

  • Muhammad Umer Saleem Department of Mathematics, University of Education, Lahore, Pakistan.
  • Khadija Jamil Department of Mathematics, Khawaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan.
  • Muhammad Farhan Tabassum Department of Mathematics, University of Management and Technology, Lahore, Pakistan.

Keywords:

Sumudu transform, Uniqueness, Sensitivity Analysis, Numerical Scheme

Abstract

In this paper, we investigate a fractional model for the COVID-19 epidemic that contains an  antiretroviral treatment compartment. We implement novel methods to acquire effective results.  We discuss equilibrium point, reproductive number, and sensitivity analysis. We utilize the  Sumudu transform technique to obtain approximate solutions for the model, and we explore  chaos control to assess stability around equilibrium points. We demonstrate the numerical  simulations to prove the accuracy of the proposed techniques. The graphs illustrate how varying  fractional orders impact the dynamics of each epidemiological group, revealing the memory and  time-dependent effects on disease spread and control strategies. 

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Published

2024-11-12

How to Cite

Uniqueness, stability analysis and approximate solution of a fractional order COVID-19 Model . (2024). Journal of Mathematical Modeling and Fractional Calculus, 1(1), 1–24. Retrieved from https://acspublisher.com/journals/index.php/jmmfc/article/view/19853