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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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
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author Naim, Mouhcine
Lahmidi, Fouad
Namir, Abdelwahed
author_facet Naim, Mouhcine
Lahmidi, Fouad
Namir, Abdelwahed
author_sort Naim, Mouhcine
collection PubMed
description 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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spelling pubmed-84410452021-09-15 Threshold Dynamics of an [Formula: see text] Epidemic Model with Nonlinear Incidence Rates Naim, Mouhcine Lahmidi, Fouad Namir, Abdelwahed Differ Equ Dyn Syst Original Research 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. Springer India 2021-09-15 /pmc/articles/PMC8441045/ /pubmed/34539106 http://dx.doi.org/10.1007/s12591-021-00581-9 Text en © Foundation for Scientific Research and Technological Innovation 2021 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Original Research
Naim, Mouhcine
Lahmidi, Fouad
Namir, Abdelwahed
Threshold Dynamics of an [Formula: see text] Epidemic Model with Nonlinear Incidence Rates
title Threshold Dynamics of an [Formula: see text] Epidemic Model with Nonlinear Incidence Rates
title_full Threshold Dynamics of an [Formula: see text] Epidemic Model with Nonlinear Incidence Rates
title_fullStr Threshold Dynamics of an [Formula: see text] Epidemic Model with Nonlinear Incidence Rates
title_full_unstemmed Threshold Dynamics of an [Formula: see text] Epidemic Model with Nonlinear Incidence Rates
title_short Threshold Dynamics of an [Formula: see text] Epidemic Model with Nonlinear Incidence Rates
title_sort threshold dynamics of an [formula: see text] epidemic model with nonlinear incidence rates
topic Original Research
url 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
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AT namirabdelwahed thresholddynamicsofanformulaseetextepidemicmodelwithnonlinearincidencerates

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