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article · Results in Control and Optimization

A mathematical modeling of COVID-19 treatment strategies utilizing the Laplace Adomian decomposition method

202414 citationsOpen accessOsun State University

Abstract

This study aims to assess the effectiveness of recent advancements in COVID-19 treatment, specifically antiviral medicines and monoclonal antibodies, in curbing the virus’s spread. We present a mathematical model incorporating these factors and qualitatively demonstrate its efficiency via positivity, existence and uniqueness of solution. Analyzing the basic reproductive threshold and sensitivity, we find that these therapeutic measures, coupled with heightened human awareness, effectively mitigate disease transmission. Employing the Laplace-Adomian decomposition method, we derive the model’s solution, confirming its accuracy via the ratio test. Numerical experiments using real-world COVID-19 data in Maple 18 software practically implies that while antiviral medications or monoclonal antibodies alone can lead to eradication, their combined implementation with increased human awareness results in rapid elimination.

Research topics

  • Fractional Differential Equations Solutions
  • COVID-19 epidemiological studies
  • Advanced Control Systems Design

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DOI: 10.1016/j.rico.2024.100384

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