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A SEIR epidemic model with quarantine and distributed delay: revealing the occurrence of recurrent epidemic waves

Year: 2024

Type: article

Abstract: In this paper, we deal with a SEIR epidemic model incorporating both quarantine measures and distributed time delay. We define the basic reproduction number $R_0$, and demonstrate that, when $R_0\leq 1$, the disease-free equilibrium is globally asymptotically stable. Conversely, when $R_0>1$, this equilibrium is unstable, leading to the existence of a unique endemic equilibrium. Furthermore, we investigate the occurrence of nontrivial periodic solutions that represent recurrent epidemic waves by obtaining the conditions for Hopf bifurcation. Through numerical simulations, we demonstrate the significant roles played by quarantine measures and time delays in the occurrence of recurrent epidemic waves.

Source: Nonlinear studies

Authors: Salhi, Ahmed, Girel, Simon, Chekroun, Abdennasser

Institutions: Centre National de la Recherche Scientifique, Université Côte d'Azur, Laboratoire Jean-Alexandre Dieudonné

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Good health and well-being

Open Access status: hybrid

Funder: Direction Générale de la Recherche Scientifique et du Développement Technologique

OpenAlex ID: W7142574281

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