Fractional modeling and numerical investigations of COVID-19 epidemic model with non-singular fractional derivatives: a case study

• Published in: Scientific reports Vol. 15; no. 1; pp. 13256 - 19
• Main Authors: Batool, Humera, Khan, Ilyas, Li, Weiyu, Junaid, Muhammad, Zhang, Jin, Nawaz, Asif, Tian, Lixin
• Format: Journal Article
• Language: English
• Published: London Nature Publishing Group UK 17.04.2025; Nature Publishing Group; Nature Portfolio
• Subjects: 631/114; 692/699; Boundary value problems; Calculus; Case studies; Computer Simulation; COVID-19; COVID-19 - epidemiology; COVID-19 - virology; COVID-19 vaccines; Disease; Epidemic models; Epidemics; Epidemiological Models; Epidemiology; Humanities and Social Sciences; Humans; Immunization; Mathematical models; Mathematics; Medical research; Mittag-Leffler function; multidisciplinary; Numerical simulations; Optimization techniques; Pandemics; Quarantine; Respiratory system; SARS-CoV-2; Science; Science (multidisciplinary); Simulation; Stability analysis; Toufik-Atangana scheme; Toufik-Atangana scheme; Numerical simulations; Stability analysis; Mittag-Leffler function

This paper focuses on the pivotal challenge of representing fractional dynamics in the context of computational biology, presenting an innovative approach. We utilize a non-singular kernel-type derivative to reformulate a fractional-order epidemic model. Our research focuses on several key aspects....