A note on the stationary distribution of stochastic SEIR epidemic model with saturated incidence rate

The stochastic SEIR infectious diseases model with saturated incidence rate is studied in this paper. By constructing appropriate Lyapunov functions, we show that there is a stationary distribution for the system and the ergodicity holds provided [Formula: see text]  > 1. In particular, we improv...

Descripción completa

Detalles Bibliográficos
Autores principales: Han, Qixing, Chen, Liang, Jiang, Daqing
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2017
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5479838/
https://www.ncbi.nlm.nih.gov/pubmed/28638046
http://dx.doi.org/10.1038/s41598-017-03858-8
Descripción
Sumario:The stochastic SEIR infectious diseases model with saturated incidence rate is studied in this paper. By constructing appropriate Lyapunov functions, we show that there is a stationary distribution for the system and the ergodicity holds provided [Formula: see text]  > 1. In particular, we improve the results obtained by previous studies greatly, condition in our Theorem is more concise and elegant.

Ejemplares similares