A Markovian switching diffusion for an SIS model incorporating Lévy processes-Reference-Cited by-同舟云学术

A Markovian switching diffusion for an SIS model incorporating Lévy processes

Published:2023 Issue:1 Volume:28 Page:209
ISSN:1531-3492
Container-title:Discrete and Continuous Dynamical Systems - B
language:
Short-container-title:DCDS-B

Author:

Settati A.¹,Lahrouz A.¹,Fatini Mohamed El²,Haitami A. El¹,Jarroudi M. El¹,Erriani M.¹

Affiliation:

1. Laboratory of mathematics and applications, FSTT, Abdelmalek Essaadi University, Tetouan, Morocco

2. Stochastic Modelling & Statistics group, Lab of EDP-AGS, Faculty of Sciences, Ibn Tofail University, BP 133 Kénitra, Morocco

Abstract

<p style='text-indent:20px;'>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 <inline-formula><tex-math id="M1">\begin{document}$ pth $\end{document}</tex-math></inline-formula> moment. We also showed the persistence of disease under different conditions. The presented results are demonstrated by numerical simulations.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

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