27 citations · 42 across the 7 of their papers we have counts for
4 papers · 1 filter
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…