Asymptotic analysis of a stochastic SVEIS epidemic model using Black-Karasinski process
Probability
2025-11-06 v1 Populations and Evolution
Abstract
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 for the existence of a stationary distribution, which indicates disease persistence. Additionally, we theoretically demonstrate that the disease will die out at an exponential rate if Re0<1 . Our results show that random fluctuations will facilitate disease outbreak.
Keywords
Cite
@article{arxiv.2511.02882,
title = {Asymptotic analysis of a stochastic SVEIS epidemic model using Black-Karasinski process},
author = {Lahcen Khammich and Driss Kiouach},
journal= {arXiv preprint arXiv:2511.02882},
year = {2025}
}