Global exponential stability of positive periodic solutions for an epidemic model with saturated treatment
Annales Polonici Mathematici (2016)
- Volume: 116, Issue: 2, page 155-171
- ISSN: 0066-2216
Access Full Article
top
Abstract
topHow to cite
topBingwen Liu. "Global exponential stability of positive periodic solutions for an epidemic model with saturated treatment." Annales Polonici Mathematici 116.2 (2016): 155-171. <http://eudml.org/doc/280807>.
@article{BingwenLiu2016,
abstract = {This paper is concerned with an SIR model with periodic incidence rate and saturated treatment function. Under proper conditions, we employ a novel argument to establish a criterion on the global exponential stability of positive periodic solutions for this model. The result obtained improves and supplements existing ones. We also use numerical simulations to illustrate our theoretical results.},
author = {Bingwen Liu},
journal = {Annales Polonici Mathematici},
keywords = {SIR model; global exponential stability; periodic incidence rate; positive periodic solution},
language = {eng},
number = {2},
pages = {155-171},
title = {Global exponential stability of positive periodic solutions for an epidemic model with saturated treatment},
url = {http://eudml.org/doc/280807},
volume = {116},
year = {2016},
}
TY - JOUR
AU - Bingwen Liu
TI - Global exponential stability of positive periodic solutions for an epidemic model with saturated treatment
JO - Annales Polonici Mathematici
PY - 2016
VL - 116
IS - 2
SP - 155
EP - 171
AB - This paper is concerned with an SIR model with periodic incidence rate and saturated treatment function. Under proper conditions, we employ a novel argument to establish a criterion on the global exponential stability of positive periodic solutions for this model. The result obtained improves and supplements existing ones. We also use numerical simulations to illustrate our theoretical results.
LA - eng
KW - SIR model; global exponential stability; periodic incidence rate; positive periodic solution
UR - http://eudml.org/doc/280807
ER -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.