ASYMPTOTIC ANALYSIS OF A STOCHASTIC SVEIS EPIDEMIC MODEL USING BLACK-KARASINSKI PROCESS
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, Rs 0 > 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 Re 0 < 1. Our results show that random fluctuations will facilitate disease outbreak.
Fields of Study & Subjects
COVID-19 epidemiological studies
Mathematical and Theoretical Epidemiology and Ecology Models
Stochastic processes and statistical mechanics
Publication details
- Journal / source
- Global and Stochastic Analysis
- Volume
- 13
- Issue
- 02
- Pages
- 127–137
- Publication date
- 1 January 2026