Related Experiment Videos
A simple SIS epidemic model with a backward bifurcation
P van den Driessche1, J Watmough
1Department of Mathematics and Statistics, University of Victoria, B.C., Canada. pvdd@math.uvic.ca
Journal of Mathematical Biology
|August 17, 2000
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. The consequences for disease control are discussed. The model is based on a Volterra integral equation and allows for a distributed infective period. The analysis includes both local and global stability of equilibria.