Global stability for a class of discrete SIR epidemic models
In this paper, we propose a class of discrete SIR epidemic models which are derived from SIR epidemic models with distributed delays by using a variation of the backward Euler method.Applying a Lyapunov functional technique, it is shown that the global dynamics of each discrete SIR epidemic model ar...
Saved in:
Main Authors: | Yoichi Enatsu, Yukihiko Nakata, Yoshiaki Muroya |
---|---|
Format: | Article |
Language: | English |
Published: |
AIMS Press
2010-03-01
|
Series: | Mathematical Biosciences and Engineering |
Subjects: | |
Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.347 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Threshold dynamics of an SIR epidemic model with hybrid of multigroup and patch structures
by: Toshikazu Kuniya, et al.
Published: (2014-08-01) -
The stability of an SIR epidemic model with time delays
by: Zhen Jin, et al.
Published: (2005-10-01) -
Dynamics of an ultra-discrete SIR epidemic model with time delay
by: Masaki Sekiguchi, et al.
Published: (2018-05-01) -
Stability and bifurcation analysis of epidemic models with saturated incidence rates: An application to a nonmonotone incidence rate
by: Yoichi Enatsu, et al.
Published: (2014-02-01) -
Global stability of an $SIR$ epidemic model with delay and general nonlinear incidence
by: C. Connell McCluskey
Published: (2010-09-01)