Asymptotic analysis of a stochastic SVEIS epidemic model using Black-Karasinski process

Lahcen Khammich; Driss Kiouach

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arXiv · 2511.02882

Asymptotic analysis of a stochastic SVEIS epidemic model using Black-Karasinski process

Lahcen Khammich·Driss Kiouach

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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.

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BibTeX RIS

Lahcen Khammich, Driss Kiouach. 2025-11-04. Asymptotic analysis of a stochastic SVEIS epidemic model using Black-Karasinski process. https://arxiv.org/abs/2511.02882

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