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September 10, 2025Open Access

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

Key Points

The stochastic delayed SVIR model shows conditions that lead to disease extinction.
Significant conditions for population growth and persistence in mean are established through this analysis.
The model incorporates logistic growth and illustrates its findings with numerical simulations.
Existence of a stationary distribution provides insights into long-term disease dynamics.

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.

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Bojana Jovanović (Tue,) studied this question.

synapsesocial.com/papers/68c18c019b7b07f3a0614513 https://doi.org/https://doi.org/10.64785/mc.30.1.1