Real data-based optimal control strategies for assessing the impact of the Omicron variant on heart attacks

Fırat Evirgen; Fatma Özköse; Mehmet Yavuz; Necati Özdemir; Fırat Evirgen; Fatma Özköse; Mehmet Yavuz; Necati Özdemir

doi:10.3934/bioeng.2023015

AIMS Bioengineering

2023, Volume 10, Issue 3: 218-239. doi: 10.3934/bioeng.2023015

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Research article

Real data-based optimal control strategies for assessing the impact of the Omicron variant on heart attacks

1.
Department of Mathematics, Faculty of Science and Arts, Balıkesir University, 10100, Balıkesir, Turkey
2.
Erciyes University, Department of Mathematics, Faculty of Science, Kayseri, Turkey
3.
Centre for Environmental Mathematics, Faculty of Environment, Science and Economy, University of Exeter, TR10 9FE, United Kingdom
4.
Department of Mathematics and Computer Sciences, Faculty of Science, Necmettin Erbakan University, 42090 Konya, Turkey

Received: 18 May 2023 Revised: 23 August 2023 Accepted: 23 August 2023 Published: 25 August 2023

This paper presents an investigation into the relationship between heart attacks and the Omicron variant, employing a novel mathematical model. The model incorporates two adjustable control parameters to manage the number of infected individuals and individuals with the Omicron variant. The study examines the model's positivity and boundedness, evaluates the reproduction number (R₀), and conducts a sensitivity analysis of the control parameters based on the reproduction number. The model's parameters are estimated using the widely utilized least squares curve fitting method, employing real COVID-19 cases from Türkiye. Finally, numerical simulations demonstrate the efficacy of the suggested controls in reducing the number of infected individuals and the Omicron population.
- Omicron variant,
- heart attack,
- parameter estimation,
- optimal control,
- sensitivity analysis
Citation: Fırat Evirgen, Fatma Özköse, Mehmet Yavuz, Necati Özdemir. Real data-based optimal control strategies for assessing the impact of the Omicron variant on heart attacks[J]. AIMS Bioengineering, 2023, 10(3): 218-239. doi: 10.3934/bioeng.2023015

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Abstract

This paper presents an investigation into the relationship between heart attacks and the Omicron variant, employing a novel mathematical model. The model incorporates two adjustable control parameters to manage the number of infected individuals and individuals with the Omicron variant. The study examines the model's positivity and boundedness, evaluates the reproduction number (R₀), and conducts a sensitivity analysis of the control parameters based on the reproduction number. The model's parameters are estimated using the widely utilized least squares curve fitting method, employing real COVID-19 cases from Türkiye. Finally, numerical simulations demonstrate the efficacy of the suggested controls in reducing the number of infected individuals and the Omicron population.

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