Dynamic behaviors of a two-group stochastic SIRS epidemic model with standard incidence rates

Dynamic behaviors of a two-group stochastic SIRS epidemic model with standard incidence rates

This paper deals with a two-group stochastic SIRS epidemic model with standard incidence rates. On one hand, we establish sufficient conditions for the existence of a stationary distribution of the positive solutions to the model by constructing a suitable stochastic Lyapunov function. On the other...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Physica A 2020-09, Vol.554, p.124628, Article 124628
Hauptverfasser: Cao, Zhongwei, Shi, Yuee, Wen, Xiangdan, Su, Huishuang, Li, Xue
Format: Artikel
Sprache:eng
Schlagworte:
Extinction
Standard incidence rates
Stationary distribution
Two-group SIRS epidemic model
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:This paper deals with a two-group stochastic SIRS epidemic model with standard incidence rates. On one hand, we establish sufficient conditions for the existence of a stationary distribution of the positive solutions to the model by constructing a suitable stochastic Lyapunov function. On the other hand, we show the sufficient conditions for the diseases to be extinct.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2020.124628