Lyapunov functions and global stability for SIR and SEIR models withage-dependent susceptibility
We consider global asymptotic properties for the SIR and SEIRage structured models for infectious diseases where the susceptibilitydepends on the age. Using the direct Lyapunov method with Volterratype Lyapunov functions, we establish conditions for the global stabilityof a unique endemic steady sta...
Saved in:
Main Authors: | Andrey V. Melnik, Andrei Korobeinikov |
---|---|
Format: | Article |
Language: | English |
Published: |
AIMS Press
2012-12-01
|
Series: | Mathematical Biosciences and Engineering |
Subjects: | |
Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.369 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence
by: Andrei Korobeinikov, et al.
Published: (2004-02-01) -
Global asymptotic properties of staged models with multiple progression pathways for infectious diseases
by: Andrey V. Melnik, et al.
Published: (2011-07-01) -
Global stability for a mosquito-borne disease model with continuous-time age structure in the susceptible and relapsed host classes
by: Maria Guadalupe Vazquez-Peña, et al.
Published: (2024-11-01) -
Global stability for an SEI epidemiological model with continuous age-structure in the exposed and infectious classes
by: C. Connell McCluskey
Published: (2012-09-01) -
Global stability for an $SEI$ model of infectious disease with age structure and immigration of infecteds
by: C. Connell McCluskey
Published: (2015-12-01)