Izvorni znanstveni članak

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 *

* Dopisni autor.

Sažetak

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.

Ključne riječi

Stochastic epidemic model; distributed delay; Brownian motion; Levy jump; Lyapunov function; extinction; persistence in mean; stationary distribution

Hrčak ID:

329402

URI

https://hrcak.srce.hr/329402

Datum izdavanja:

11.3.2025.

Posjeta: 731 *