The stochastic bifurcation analysis and stochastic delayed optimal control for epidemic model with general incidence function

A Din - Chaos: An Interdisciplinary Journal of Nonlinear …, 2021 - pubs.aip.org
In the history of the world, contagious diseases have been proved to pose serious threats to
humanity that needs uttermost research in the field and its prompt implementations. With this …

Dynamics of a stochastic coronavirus (COVID-19) epidemic model with Markovian switching

B Boukanjime, T Caraballo, M El Fatini… - Chaos, Solitons & …, 2020 - Elsevier
In this paper, we analyze a stochastic coronavirus (COVID-19) epidemic model which is
perturbed by both white noise and telegraph noise incorporating general incidence rate …

Analysis of a stochastic distributed delay epidemic model with relapse and gamma distribution kernel

T Caraballo, M El Fatini, M El Khalifi, R Gerlach… - Chaos, Solitons & …, 2020 - Elsevier
In this work, we investigate a stochastic epidemic model with relapse and distributed delay.
First, we prove that our model possesses and unique global positive solution. Next, by …

A generalized stochastic SIRS epidemic model incorporating mean-reverting Ornstein–Uhlenbeck process

A Laaribi, B Boukanjime, M El Khalifi, D Bouggar… - Physica A: Statistical …, 2023 - Elsevier
The aim of this work is to study a new stochastic SIRS epidemic model that includes the
mean-reverting Ornstein–Uhlenbeck process and a general incidence rate. First, we prove …

A stochastic analysis for a triple delayed SIQR epidemic model with vaccination and elimination strategies

M El Fatini, R Pettersson, I Sekkak, R Taki - Journal of Applied …, 2020 - Springer
In this paper, a delayed SIQR epidemic model with vaccination and elimination hybrid
strategies is analysed under a white noise perturbation. We prove the existence and the …

[PDF][PDF] Threshold dynamics of a stochastic SIHR epidemic model of COVID-19 with general population-size dependent contact rate

T Hou, G Lan, S Yuan, T Zhang - Math. Biosci. Eng, 2022 - aimspress.com
Threshold dynamics of a stochastic SIHR epidemic model of COVID-19 with general
population-size dependent contact rate Page 1 http://www.aimspress.com/journal/mbe MBE, 19(4) …

Endemic information-contagion outbreaks in complex networks with potential spreaders based recurrent-state transmission dynamics

Z Wang, X Rui, G Yuan, J Cui… - Physica A: Statistical …, 2021 - Elsevier
Epidemic models have long been used to study information diffusion in complex artificial,
biological and social networks. Here, we propose a novel recurrent-state epidemic model for …

A stochastic threshold of a delayed epidemic model incorporating Lévy processes with harmonic mean and vaccination

M El Fatini, I Sekkak, A Laaribi… - International Journal of …, 2020 - World Scientific
The aim of this paper is to investigate a stochastic threshold for a delayed epidemic model
driven by Lévy noise with a nonlinear incidence and vaccination. Mainly, we derive a …

[PDF][PDF] Stationary distribution and extinction of a stochastic SEIQ epidemic model with a general incidence function and temporary immunity

Y Zhang, X Ma, A Din - AIMS Math, 2021 - aimspress.com
In this paper, we propose a novel stochastic SEIQ model of a disease with the general
incidence rate and temporary immunity. We first investigate the existence and uniqueness of …

Lévy noise with infinite activity and the impact on the dynamic of an SIRS epidemic model

S El Attouga, D Bouggar, M El Fatini, A Hilbert… - Physica A: Statistical …, 2023 - Elsevier
A stochastic SIRS epidemic model with generalized nonlinear incidence and Lévy noise is
investigated. First, we show the existence and uniqueness of a global positive solution …