Original scientific paper
https://doi.org/10.64785/mc.30.1.1
Dynamical analysis and stationary distribution of a stochastic delayed epidemic model with Lévy jump
Bojana Jovanović
; Ministry of Science, Technological Development and Innovation of the Republic of Serbia
*
* Corresponding author.
Abstract
In this work, a stochastic delayed SVIR (susceptible-vaccinated-infected-recovered) model with logistic growth of population, saturated incidence function and distributed delay is analyzed. The sufficient conditions for the extinction and persistence in mean of the disease and existence of a stationary distribution are obtained. The theoretical results are illustrated via numerical simulations.
Keywords
Stochastic epidemic model; distributed delay; Brownian motion; Levy jump; Lyapunov function; extinction; persistence in mean; stationary distribution
Hrčak ID:
329402
URI
Publication date:
11.3.2025.
Visits: 731 *