Work

Transmission dynamics and stability of fractional order derivative model for COVID-19 epidemic with optimal control analysis

Year: 2025

Type: article

Abstract: This present study analyzes COVID-19 transmission using a nonlinear mathematical model with a Caputo fractional derivative. By using fixed point theory, the existence and uniqueness of the solution are examined. We compute the basic reproduction number and investigate the stability analysis of the model. Approximate solutions are obtained using fractional Adam–Bashforth–Moulton method. A comprehensive exploration of optimal control is performed, utilizing one control parameter to investigate the fluctuations in the infected people under some conditions. The simulation results demonstrate the potential of fractional order derivatives with control parameter for a pandemic situation.

Source: Electronic Research Archive

DOI: 10.3934/era.2025095

Authors: S. Suganya, V. Parthiban, R Kavikumar, Oh-Min Kwon

Institutions: Vellore Institute of Technology University, Chungbuk National University, VIT-AP University

Language: English

Topic: COVID-19 epidemiological studies

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

SDG: Good health and well-being

Open Access status: gold

Estimated APC paid: $1,000