A delayed SIR epidemic model with a general incidence rate

A delayed SIR epidemic model with a generalized incidence rate is studied. The time delay represents the incubation period. The threshold parameter, $R_0(\tau)$ is obtained which determines whether the disease is extinct or not. Throughout the paper, we mainly use the technique of Lyapunov functiona...

Full description

Saved in:
Bibliographic Details
Published in:Electronic journal of qualitative theory of differential equations 2013, Vol.2013 (3), p.1-9
Main Authors: Hattaf, Khalid, Lashari, Abid, Louartassi, Younes, Yousfi, Noura
Format: Article
Language:English
Subjects:
general incidence rate
global asymptotic stability
lyapunov functional
sir epidemic model
time delay
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A delayed SIR epidemic model with a generalized incidence rate is studied. The time delay represents the incubation period. The threshold parameter, $R_0(\tau)$ is obtained which determines whether the disease is extinct or not. Throughout the paper, we mainly use the technique of Lyapunov functional to establish the global stability of both the disease-free and endemic equilibrium.
ISSN:1417-3875
1417-3875
DOI:10.14232/ejqtde.2013.1.3