Chaos and Control of COVID-19 Dynamical System

Vivek Mishra; Sarit Maitra; Mihir Dash; Saurabh Kumar Agrawal; Praveen Agarwal

doi:10.51537/chaos.1320492

Chaos and Control of COVID-19 Dynamical System

Vivek Mishra
, Sarit Maitra
, Mihir Dash
, Saurabh Kumar Agrawal
, Praveen Agarwal

Nonlinear Dynamic Research Centre (NDRC)

Alliance University
Bharati Vidyapeeth College of Engineering
International College of Engineering

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Chaos, which is found in many dynamical systems, due to the presence of chaos, systems behave erratically. Due to its erratic behaviour, the chaotic behaviour of the system needs to be controlled. Severe acute respiratory syndrome Coronavirus 2 (Covid-19), which has spread all over the world as a pandemic. Many dynamical systems have been proposed to understand the spreading behaviour of the disease. This paper investigates the chaos in the outbreak of COVID-19 via an epidemic model. Chaos is observed in the proposed SIR model. The controller is designed based on the fractional-order Routh Hurwitz criteria for fractional-order derivatives. The chaotic behaviour of the model is controlled by feedback control techniques, and the stability of the system is discussed.

Original language	English
Pages (from-to)	233-241
Number of pages	9
Journal	Chaos Theory and Applications
Volume	5
Issue number	3
DOIs	https://doi.org/10.51537/chaos.1320492
State	Published - 2023

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Chaos
Chaotic attractor
Feedback control
Fractional order
Routh Hurwitz cri-
Stability
teria

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10.51537/chaos.1320492

Cite this

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title = "Chaos and Control of COVID-19 Dynamical System",

abstract = "Chaos, which is found in many dynamical systems, due to the presence of chaos, systems behave erratically. Due to its erratic behaviour, the chaotic behaviour of the system needs to be controlled. Severe acute respiratory syndrome Coronavirus 2 (Covid-19), which has spread all over the world as a pandemic. Many dynamical systems have been proposed to understand the spreading behaviour of the disease. This paper investigates the chaos in the outbreak of COVID-19 via an epidemic model. Chaos is observed in the proposed SIR model. The controller is designed based on the fractional-order Routh Hurwitz criteria for fractional-order derivatives. The chaotic behaviour of the model is controlled by feedback control techniques, and the stability of the system is discussed.",

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doi = "10.51537/chaos.1320492",

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AU - Mishra, Vivek

AU - Maitra, Sarit

AU - Dash, Mihir

AU - Agrawal, Saurabh Kumar

AU - Agarwal, Praveen

PY - 2023

Y1 - 2023

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Chaos and Control of COVID-19 Dynamical System

Abstract

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Keywords

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