ARTICLE
Threshold Parameters of Stochastic SIR and SIRS Epidemic Models with Delay and Nonlinear Incidence
- Partial Differential Equations and Applications : 293-358
Lien de l'article :
https://doi.org/10.1007/978-3-031-27661-3_11
Discipline :
Mathématiques
Auteur(s) :
Ali Traoré
Auteur(s) tagués :
TRAORE Ali
Renseignée par : TRAORE Ali
Résumé
In this chapter, we study stochastic SIR and SIRS epidemic models with delay. A nonlinear incidence function that includes some special incidence rates is
also considered. Two thresholds of the two models are derived by using the nonnegative semimartingale convergence theorem.
Mots-clés
Delays, Stochastic SIR model, Nonlinear incidence, Extinction, Persistence in mean