Open AccessA Markovian switching diffusion for an SIS model incorporating Lévy processes
Author(s) -
Adel Settati,
Aadil Lahrouz,
Mohamed El Fatini,
A. El Haitami,
Moussa El Jarroudi,
Mustapha ErRiani
Publication year - 2023
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2022072
Subject(s) - white noise , extinction (optical mineralogy) , mathematics , noise (video) , moment (physics) , diffusion , statistical physics , physics , statistics , computer science , quantum mechanics , optics , artificial intelligence , image (mathematics)
The purpose of this work is to investigate the asymptotic properties of a stochastic version of the classical SIS epidemic model with three noises. The stochastic model studied here includes white noise, telegraph noise and Lévy noise. We established conditions for extinction in probability and in \begin{document}$ pth $\end{document} moment. We also showed the persistence of disease under different conditions. The presented results are demonstrated by numerical simulations.