THE SELF-PROTECTION BEHAVIOR CHANGES EFFECT IN SEIR-DM OF COVID-19 PANDEMIC MODEL WITH NUMERICAL SIMULATION AND CONTROLLING STRATEGIES PRESENTATION

Razia Begum (), Sajjad Ali, Thabet Abdeljawad and Kamal Shah ()
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Razia Begum: Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Dir Upper, Khyber Pakhtunkhwa, Pakistan
Sajjad Ali: Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Dir Upper, Khyber Pakhtunkhwa, Pakistan
Thabet Abdeljawad: ��Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai 602105, Tamil Nadu, India‡Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia§Department of Medical Research, China Medical University, Taichung 40402, Taiwan¶Center for Applied Mathematics and Bioinformatics (CAMB), Gulf University for Science and Technology, Hawally 32093, Kuwait∥Department of Mathematics and Applied Mathematics, School of Science and Technology, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa**Department of Mathematics, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-qu, Seoul, Republic of Korea
Kamal Shah: ��Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

FRACTALS (fractals), 2025, vol. 33, issue 08, 1-20

Abstract: In mathematical modeling, particularly with fractional-order models, significant interest arises across diverse fields. This paper aims to design and analyze a COVID-19 model incorporating self-protection dynamics, utilizing the Caputo–Fabrizio fractional derivative (CFFD) to capture the system’s behavior. The Banach fixed point theorem (FPT) is employed to establish the existence and uniqueness of solutions to the model. The results demonstrate enhanced accuracy and effectiveness compared to classical models, highlighting the applicability and advantages of fractional derivatives in disease modeling. This approach offers improved modeling of both long- and short-term memory effects, contributing to a better understanding of control strategies in dynamic systems. Additionally, a numerical scheme is implemented to support the theoretical findings. The results of this work are also plotted in various graphs.

Keywords: Fractional Differentiation; Existence and Uniqueness; Stability; Numerical Simulation (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25401401

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