27 citations · 42 across the 7 of their papers we have counts for
7 papers
A Selective Review of Modern Stochastic Modeling: SDE/SPDE Numerics, Data-Driven Identification, and Generative Methods with Applications in Biomathematics
Yassine Sabbar, Kottakkaran Sooppy Nisar
This review maps developments in stochastic modeling, highlighting non-standard approaches and their applications to biology and epidemiology. It brings together four strands: (1)…
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…