Work

SIRS model for computer viruses propagation with time dependent delay and jumps

Year: 2025

Type: article

Abstract: In this paper we propose stochastic SIRS model which describes propagation of two independent computer viruses. Randomness is introduced in the model by perturbing transmission rates via Brownian motion and Poisson jump. For this model, we theoretically prove that its solution is unique, global and positive. Furthermore, we derive conditions under which viruses become extinct from population. Also, conditions for stochastic strong persistence in mean of viruses will be obtained. In the end, we will present numerical simulations to illustrate our theoretical results using Euler-Maruyama method.

Source: Filomat

DOI: 10.2298/fil2508525d

Authors: Milica Djordjevic, Jasmina Djordjevic

Institutions: University of Nis, Ministry of Defence Republic of Serbia

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: diamond

Funder: Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja

Award: G438948161