A simple SIS epidemic model with a backward bifurcation

Authors
van den Driessche, P Watmough, J
Citation
P. Van Den Driessche et J. Watmough, A simple SIS epidemic model with a backward bifurcation, J MATH BIOL, 40(6), 2000, pp. 525-540
Citations number
20
Categorie Soggetti
Multidisciplinary
Journal title
JOURNAL OF MATHEMATICAL BIOLOGY
ISSN journal
03036812 → ACNP
Volume
40
Issue
6
Year of publication
2000
Pages
525 - 540
Database
ISI
SICI code
0303-6812(200006)40:6<525:ASSEMW>2.0.ZU;2-D
Abstract
It is shown that an SIS epidemic model with a non-constant contact rate may have multiple stable equilibria, a backward bifurcation and hysteresis. Th e consequences for disease control are discussed. The model is based on a V olterra integral equation and allows for a distributed infective period. Th e analysis includes both local and global stability of equilibria.