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A New COVID 19 model using fractional calculus: stability, mitigate pandemic and simulations

Year: 2024

Type: article

Abstract: Fractional-order (F-O) equations have been shown to accurately describe the spread of coronavirus because of their ability to incorporate the effects of memory into the dynamics. The paper introduces a new and unique way of modeling COVID-19 using the fractional-order operator. Unlike traditional models, this innovative approach incorporates the variable of vaccinated individuals, making it more comprehensive and accurate in its predictions. A newly derived theorem is put forth, highlighting the conditions necessary for the pandemic to subside. To illustrate the practical implications of the proposed model, the study includes a series of numerical simulations, demonstrating the efficacy of the obtained findings. These simulations serve to substantiate the effectiveness of the results presented in the paper.

Source: IFAC-PapersOnLine

DOI: 10.1016/j.ifacol.2024.08.165

Authors: Noureddine Djenina, Giuseppe Grassi, Adel Ouannas, Zohir Dibi

Institutions: Larbi Ben M'hidi University of Oum El Bouaghi, University of Salento

Language: English

Topic: COVID-19 epidemiological studies

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

SDG: Good health and well-being

Open Access status: diamond

OpenAlex ID: W4401947739

FWCI: 5.349

Cites: 12

Cited by: 20

Related to: 10