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Your search keyword '"Lahmidi, Fouad"' showing total 2 results
Start Over Author "Lahmidi, Fouad" Topic basic reproduction number
2 results on '"Lahmidi, Fouad"'

1. Analysis of a Deterministic and a Stochastic SIS Epidemic Model with Double Epidemic Hypothesis and Specific Functional Response.

Author

Naim, Mouhcine and Lahmidi, Fouad

Subjects
*STOCHASTIC analysis, *LYAPUNOV functions, *STOCHASTIC models, *HYPOTHESIS, *BASIC reproduction number
Abstract

The purpose of this paper is to investigate the stability of a deterministic and stochastic SIS epidemic model with double epidemic hypothesis and specific nonlinear incidence rate. We prove the local asymptotic stability of the equilibria of the deterministic model. Moreover, by constructing a suitable Lyapunov function, we obtain a sufficient condition for the global stability of the disease-free equilibrium. For the stochastic model, we establish global existence and positivity of the solution. Thereafter, stochastic stability of the disease-free equilibrium in almost sure exponential and p th moment exponential is investigated. Finally, numerical examples are presented. [ABSTRACT FROM AUTHOR]

Published
2020
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2. 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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