[HTML][HTML] Age-structured modeling of COVID-19 epidemic in the USA, UAE and Algeria

S Bentout, A Tridane, S Djilali, TM Touaoula - Alexandria Engineering …, 2021 - Elsevier
As the COVID-19 is still spreading in more than 180 countries, according to WHO. There is a
need to understand the dynamics of this infection and predict its the impact on the public …

Global dynamics of an SEIR model with two age structures and a nonlinear incidence

S Bentout, Y Chen, S Djilali - Acta Applicandae Mathematicae, 2021 - Springer
In this paper, we study an SEIR model with both infection and latency ages and also a very
general class of nonlinear incidence. We first present some preliminary results on the …

A survey on Lyapunov functions for epidemic compartmental models

N Cangiotti, M Capolli, M Sensi, S Sottile - Bollettino dell'Unione …, 2024 - Springer
In this survey, we propose an overview on Lyapunov functions for a variety of compartmental
models in epidemiology. We exhibit the most widely employed functions, and provide a …

Approximating the asymptomatic infectious cases of the COVID-19 disease in Algeria and India using a mathematical model

S Djilali, S Bentout, S Kumar… - International Journal of …, 2022 - World Scientific
In this research, we are interested in discussing the evolution of the COVID-19 infection
cases and predicting the spread of COVID-19 disease in Algeria and India. To this aim, we …

Threshold dynamics of an age-structured infectious disease model with limited medical resources

J Yang, Z Chen, Y Tan, Z Liu, RA Cheke - Mathematics and Computers in …, 2023 - Elsevier
In this paper, an age-structured infectious disease dynamical model that considers two
diseases simultaneously but with limited medical resources is proposed and analyzed. The …

Bifurcation analysis for a double age dependence epidemic model with two delays

S Bentout, S Djilali, TM Touaoula, A Zeb… - Nonlinear …, 2022 - Springer
In recent research, we are interested in analyzing a double age dependence SIRS model.
Our main interest is to seek the influence of the incubation period and the immunity period …

[HTML][HTML] Analysis of a stochastic SEIS epidemic model with the standard Brownian motion and Lévy jump

MF Hama, RRQ Rasul, Z Hammouch, KAH Rasul… - Results in Physics, 2022 - Elsevier
In the present work, we analyze and investigate the behavior of an SEIS stochastic model
which it is performed by a Lévy process. At the beginning, we established that the model has …

[PDF][PDF] Mathematical analysis of an age structured heroin-cocaine epidemic model.

A Chekroun, MN Frioui, T Kuniya… - … Systems-Series B, 2020 - pdfs.semanticscholar.org
This paper is devoted to studying the dynamics of a certain age structured heroin-cocaine
epidemic model. More precisely, this model takes into account the following unknown …

Global threshold dynamics of an age structured alcoholism model

S Bentout, S Djilali, A Chekroun - International Journal of …, 2021 - World Scientific
We consider in this research an age-structured alcoholism model. The global behavior of the
model is investigated. It is proved that the system has a threshold dynamics in terms of the …

Threshold dynamics of difference equations for SEIR model with nonlinear incidence function and infinite delay

S Bentout, S Djilali, S Kumar, TM Touaoula - The European Physical …, 2021 - Springer
In this research, we explore the global conduct of age-structured SEIR system with nonlinear
incidence functional (NIF), where a threshold behavior is obtained. More precisely, we will …