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Your search keyword '"Lahmidi, Fouad"' showing total 3 results
Start Over Author "Lahmidi, Fouad" Topic local stability
3 results on '"Lahmidi, Fouad"'

2. Threshold Dynamics of an \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf {SEIS}$$\end{document}SEIS Epidemic Model with Nonlinear Incidence Rates

Author

Naim, Mouhcine, Lahmidi, Fouad, and Namir, Abdelwahed

Subjects
Local stability, SEIS epidemic model, Latent period, Quantitative Biology::Populations and Evolution, COVID-19, Global stability, Original Research
Abstract

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.

Published
2021

3. Dynamics of an fractional SEIR epidemic model with infectivity in latent period and general nonlinear incidence rate.

Author

Naim, Mouhcine, Lahmidi, Fouad, Namir, Abdelwahed, and Kouidere, Abdelfatah

Subjects
*BASIC reproduction number, *GLOBAL asymptotic stability, *EPIDEMICS
Abstract

In this paper, we consider an fractional S E I R epidemic model with infectious force in the latent period and general nonlinear incidence rate of the form f (S , I) I + g (S , E) E. The global existence, nonnegativity and boundedness of solutions in this system are proved. The basic reproduction number is obtained. We show that the model exhibits two equilibriums: the disease-free and endemic equilibrium. The local stability of each equilibrium are discussed. By means of Lyapunov functionals and LaSalle's invariance principle, we proved the global asymptotic stability of the equilibria. An application is given and numerical simulation results have been incorporated to support the theoretical results of this work. [ABSTRACT FROM AUTHOR]

Published
2021
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