Threshold Dynamics of an SEIS Epidemic Model with Nonlinear Incidence Rates

In this paper, we consider an SEIS epidemic model with infectious force in latent and infected period, which incorporates by nonlinear incidence rates. The local stability of the equilibria is discussed. By means of Lyapunov functionals and LaSalle’s invariance principle, we proved the global asympt...

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Bibliographic Details
Published inDifferential equations and dynamical systems Vol. 32; no. 2; pp. 505 - 518
Main Authors Naim, Mouhcine, Lahmidi, Fouad, Namir, Abdelwahed
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.04.2024
Springer Nature B.V
Subjects
Computer Science
Engineering
Epidemics
Mathematical models
Mathematics
Mathematics and Statistics
Original Research
Stability
COVID-19
Global stability
Latent period
Local stability
epidemic model
SEIS epidemic model
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Summary:In this paper, we consider an SEIS epidemic model with infectious force in latent and infected period, which incorporates by nonlinear incidence rates. The local stability of the equilibria is discussed. By means of Lyapunov functionals and LaSalle’s invariance principle, we proved the global asymptotic stability of the disease-free equilibrium and the endemic equilibrium. An application is given and numerical simulation results based on real data of COVID-19 in Morocco are performed to justify theoretical findings.
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ISSN:0971-3514
0974-6870
DOI:10.1007/s12591-021-00581-9