Global Stability for a Viral Infection Model with Saturated Incidence Rate

Global Stability for a Viral Infection Model with Saturated Incidence Rate

A viral infection model with saturated incidence rate and viral infection with delay is derived and analyzed; the incidence rate is assumed to be a specific nonlinear form βxv/(1+αv). The existence and uniqueness of equilibrium are proved. The basic reproductive number R0 is given. The model is divi...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.621-629-167
Hauptverfasser: Peng, Huaqin, Guo, Zhiming
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical problems
Power plants
Risk premiums
Studies
Viral infections
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:A viral infection model with saturated incidence rate and viral infection with delay is derived and analyzed; the incidence rate is assumed to be a specific nonlinear form βxv/(1+αv). The existence and uniqueness of equilibrium are proved. The basic reproductive number R0 is given. The model is divided into two cases: with or without delay. In each case, by constructing Lyapunov functionals, necessary and sufficient conditions are given to ensure the global stability of the models.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/187897