TY - JOUR
T1 - Nonlinear SEIS Epidemic Dynamics with Fractional-Order Time: Analytical and Numerical Results
AU - Amrani , Jamal El
AU - Mahjour , Hamza El
AU - Serroukh , Ibtissam
AU - Lahrouz , Aadil
JO - Journal of Nonlinear Modeling and Analysis
VL - 2
SP - 583
EP - 601
PY - 2025
DA - 2025/04
SN - 7
DO - http://doi.org/10.12150/jnma.2025.583
UR - https://global-sci.org/intro/article_detail/jnma/24016.html
KW - Non-linear epidemic model, fractional system, stability of equilibria.
AB - <p style="text-align: justify;">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.</p>