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

被引：0

作者：

Suganya, S. ^{[1
]}

Parthiban, V. ^{[1
]}

Kavikumar, R. ^{[2
,3
]}

Kwon, Oh-Min ^{[3
]}

机构：

[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Chennai 600127, Tamil Nadu, India

[2] VIT AP Univ, Sch Adv Sci, Dept Math, Amaravati 522237, India

[3] Chungbuk Natl Univ, Sch Elect Engn, Cheongju 28644, South Korea

来源：

ELECTRONIC RESEARCH ARCHIVE | 2025年 / 33卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

fractional order model; Caputo derivative; stability; fractional optimal control; numerical simulations; CALCULUS;

D O I：

10.3934/era.2025095

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：2172 / 2194

页数：23

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