Cargando…

Bifurcations of an epidemic model with non-monotonic incidence rate of saturated mass action

In this paper, we study the bifurcations of an epidemic model with non-monotonic incidence rate of saturated mass action, which describes the psychological effects of the community on certain serious diseases when the number of infective is getting larger. By carrying out the bifurcation analysis of...

Descripción completa

Detalles Bibliográficos
Autores principales: Zhou, Yugui, Xiao, Dongmei, Li, Yilong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier Ltd. 2007
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7127769/
https://www.ncbi.nlm.nih.gov/pubmed/32288358
http://dx.doi.org/10.1016/j.chaos.2006.01.002
Descripción
Sumario:In this paper, we study the bifurcations of an epidemic model with non-monotonic incidence rate of saturated mass action, which describes the psychological effects of the community on certain serious diseases when the number of infective is getting larger. By carrying out the bifurcation analysis of the model, we show that there exist some values of the model parameters such that numerous kinds of bifurcation occur for the model, such as Hopf bifurcation, Bogdanov–Takens bifurcation.