Article (Scientific journals)
Dynamics of hybrid switching diffusions SIRS model
Settati, Adel; Lahrouz, Aadil; El Jarroudi, Mustapha et al.
2015In Journal of Applied Mathematics and Computing
Peer reviewed
 

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Keywords :
Stochastic epidemic model; Markovian switching; Extiction; Stochastic persistence
Abstract :
[en] The main aim of this paper is to study the effect of the environmental noises in the asymptotic properties of a stochastic version of the classical SIRS epidemic model. The model studied here include white noise and telegraph noise modeled by Markovian switching. We obtained conditions for extinction both in probability one and in pth moment. We also established the persistence of disease under different conditions on the intensities of noises, the parameters of the model and the stationary distribution of the Markov chain. The highlight point of our work is that our conditions are sufficient and almost necessary for extinction and persistence of the epidemic. The presented results are demonstrated by numerical simulations.
Disciplines :
Mathematics
Author, co-author :
Settati, Adel
Lahrouz, Aadil
El Jarroudi, Mustapha
El Jarroudi, Moussa  ;  Université de Liège > DER Sc. et gest. de l'environnement (Arlon Campus Environ.) > Eau, Environnement, Développement
Language :
English
Title :
Dynamics of hybrid switching diffusions SIRS model
Publication date :
10 September 2015
Journal title :
Journal of Applied Mathematics and Computing
ISSN :
1598-5865
Publisher :
Springer
Peer reviewed :
Peer reviewed
Available on ORBi :
since 30 September 2015

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