Threshold Dynamics of an [Formula: see text] 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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Detalles Bibliográficos
Autores principales: Naim, Mouhcine, Lahmidi, Fouad, Namir, Abdelwahed
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer India 2021
Materias:
Original Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8441045/
https://www.ncbi.nlm.nih.gov/pubmed/34539106
http://dx.doi.org/10.1007/s12591-021-00581-9
Descripción
Sumario: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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