Title: Effects of Quarantine in Six Infectious Disease Models

Speaker: Professor Herbert Hethcote, University of Iowa

Abstract:  Thresholds, equilibria, and their stability are found for SIQS
and SIQR epidemiology models with three forms of the incidence. For most of
these models, the endemic equilibrium is asymptotically stable, but for the
SIQR model with the quarantine-adjusted incidence, the endemic equilibrium
is an unstable spiral for some parameter values and periodic solutions
arise by Hopf bifurcation. Hopf bifurcation surface and stable periodic
solutions are found numerically.