27 citations · 42 across the 7 of their papers we have counts for
8 papers
Dynamical behaviors of a stochastic SIS epidemic model with mean-reverting inhomogeneous geometric brownian motion
Lahcen Khammich, Driss Kiouach
The main purpose of this paper is to study the Dynamical behaviors of a stochastic SIS epidemic model using mean-reverting inhomogeneous geometric brownian motion process. First we…
Asymptotic analysis of a stochastic SVEIS epidemic model using Black-Karasinski process
Lahcen Khammich, Driss Kiouach
In this paper, we present a stochastic SVEIS epidemic model perturbed by a Black-Karasinski process. Using a Lyapunov functional approach, we derive a sufficient condition, Rs0>1 f…
A novel mathematical analysis and threshold reinforcement of a stochastic dengue epidemic model with Lévy jumps
Driss Kiouach, Salim El Azami El-idrissi, Yassine Sabbar
The rampant phenomenon of overpopulation and the remarkable increase of human movements over the last decade have caused an aggressive re-emergence of dengue fever, which made it t…
Advanced and comprehensive research on the dynamics of COVID-19 under mass communication outlets intervention and quarantine strategy: a deterministic and probabilistic approach
Driss Kiouach, Salim El Azami El-idrissi, Yassine Sabbar
The ongoing Coronavirus disease 2019 (COVID-19) is a major crisis that has significantly affected the healthcare sector and global economies, which made it the main subject of vari…
New results on the asymptotic behavior of an SIS epidemiological model with quarantine strategy, stochastic transmission, and Lévy disturbance
Driss Kiouach, Yassine Sabbar, Salim El Azami El-idrissi
The spread of infectious diseases is a major challenge in our contemporary world, especially after the recent outbreak of Coronavirus disease 2019 (COVID-19). The quarantine strate…
The long-time behaviour of a stochastic SIR epidemic model with distributed delay and multidimensional Lévy jumps
Driss Kiouach, Yassine Sabbar
Recently, emerging epidemics like COVID-19 and its variants require predictive mathematical models to implement suitable responses in order to limit their negative and profound imp…
Dynamic characterization of a stochastic SIR infectious disease model with dual perturbation
Driss Kiouach, Yassine Sabbar
This paper presents an SIR epidemic model with two different types of perturbations: white and Lévy noises. We consecrate to develop a mathematical method to obtain the asymptotic…
Developing new techniques for obtaining the threshold of a stochastic SIR epidemic model with 3-dimensional Lévy process
Driss Kiouach, Yassine Sabbar
This paper considers the classical SIR epidemic model driven by a multidimensional Lévy jump process. We consecrate to develop a mathematical method to obtain the asymptotic proper…