Year: 2025
Author: Jamal El Amrani, Hamza El Mahjour, Ibtissam Serroukh, Aadil Lahrouz
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 2 : pp. 583–601
Abstract
This study investigates a novel SEIS epidemic model that incorporates fractional-order derivatives to account for the memory effects of the disease spread. The Caputo derivative is specifically employed. Furthermore, the model considers the influence of behavioral changes in susceptible individuals by incorporating a general non-linear function that depends on their population size. Leveraging recent advancements in fractional differential equations theory, we establish the existence of solutions and analyze the critical conditions for the system’s steady states to achieve global asymptotic stability. Finally, the validity and applicability of the theoretical model are corroborated through numerical simulations using real-world data on the prevalence of Pneumococcus.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2025.583
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 2 : pp. 583–601
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Non-linear epidemic model fractional system stability of equilibria.