Dynamical analysis and stationary distribution of a stochastic delayed epidemic model with Levy jump

Bojana Jovanović

Vol. 30 No. 1 (2025)

Regular Articles

Dynamical analysis and stationary distribution of a stochastic delayed epidemic model with Levy jump

Published 2025-03-11

Bojana Jovanović

Bojana Jovanović
Faculty of Sciences and Mathematics, University of Niš, Serbia

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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

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Author Biography

Bojana Jovanović

Department of Mathematics