Chaos and Control of COVID-19 Dynamical System

Year 2023, Volume: 5 Issue: 3, 233 - 241, 30.11.2023

Vivek Mishra Sarit Maitra Mihir Dash Saurabh Kumar Agrawal Praveen Agarwal

https://doi.org/10.51537/chaos.1320492

Abstract

Chaos, which is found in many dynamical systems, due to the presence of chaos, systems behave erratically. Due to its erratic behavior, the chaotic behavior 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.

Keywords

Chaos, Feedback control, Fractional order, Routh Hurwitz criteria, Chaotic attractor, Stability

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