The influence of quadratic Lévy noise on the dynamic of an SIC contagious illness model: New framework, critical comparison and an application to COVID-19 (SARS …

Y Sabbar, D Kiouach, SP Rajasekar… - Chaos, Solitons & …, 2022 - Elsevier
This study concentrates on the analysis of a stochastic SIC epidemic system with an
enhanced and general perturbation. Given the intricacy of some impulses caused by …

Influence of fractal–fractional differentiation and independent quadratic Lévy jumps on the dynamics of a general epidemic model with vaccination strategy

Y Sabbar, A Din, D Kiouach - Chaos, Solitons & Fractals, 2023 - Elsevier
The emergence and reemergence of various infectious diseases have adversely affected
human life both from a social and economic point of view, and thus the study of epidemic …

[PDF][PDF] Stochastic modeling of the Monkeypox 2022 epidemic with cross-infection hypothesis in a highly disturbed environment

A Khan, Y Sabbar, A Din - Math. Biosci. Eng, 2022 - researchgate.net
Monkeypox 2022, a new re-emerging disease, is caused by the Monkeypox virus.
Structurally, this virus is related to the smallpox virus and infects the host in a similar way; …

[HTML][HTML] Long-run analysis of a perturbed HIV/AIDS model with antiretroviral therapy and heavy-tailed increments performed by tempered stable Lévy jumps

KS Nisar, Y Sabbar - Alexandria Engineering Journal, 2023 - Elsevier
The novelty of this article lies in providing a new framework for modeling the dynamics of
HIV/AIDS infection under antiretroviral therapy (ART) which aims to reduce a person's viral …

Infection eradication criterion in a general epidemic model with logistic growth, quarantine strategy, media intrusion, and quadratic perturbation

Y Sabbar, M Yavuz, F Özköse - Mathematics, 2022 - mdpi.com
This article explores and highlights the effect of stochasticity on the extinction behavior of a
disease in a general epidemic model. Specifically, we consider a sophisticated dynamical …

[HTML][HTML] Predicting potential scenarios for wastewater treatment under unstable physical and chemical laboratory conditions: A mathematical study

Y Sabbar, A Din, D Kiouach - Results in Physics, 2022 - Elsevier
This research aims to highlight and examine an example of physical complexity. By taking
into account the interference between the components of a bio-reactor chemostat, we …

New method to obtain the acute sill of an ecological model with complex polynomial perturbation

Y Sabbar, D Kiouach - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
This research aims to highlight and examine an example of ecological complexity. By taking
into account the interference between predator and prey, we introduce an ecological system …

New Method to Investigate the Impact of Independent Quadratic α-Stable Poisson Jumps on the Dynamics of a Disease under Vaccination Strategy

Y Sabbar, A Khan, A Din, M Tilioua - Fractal and Fractional, 2023 - mdpi.com
Long-run bifurcation analysis aims to describe the asymptotic behavior of a dynamical
system. One of the main objectives of mathematical epidemiology is to determine the acute …

Acute threshold dynamics of an epidemic system with quarantine strategy driven by correlated white noises and Lévy jumps associated with infinite measure

Y Sabbar, D Kiouach, SP Rajasekar - International Journal of Dynamics …, 2023 - Springer
Several studies have previously been conducted on the dynamics of probabilistic epidemic
models driven by Lévy disorder. All of these works have used the Poisson counting process …

[HTML][HTML] Dynamical bifurcation of a sewage treatment model with general higher-order perturbation

Y Sabbar, A Zeb, D Kiouach, N Gul, T Sitthiwirattham… - Results in Physics, 2022 - Elsevier
In this research, we expose new results on the dynamics of a high disturbed chemostat
model for industrial wastewater. Due to the complexity of heavy and erratic environmental …