(1) Department of Mathematics, University of Alberta, T6G 2G1 Edmonton, Alberta, Canada;(2) Department of Mathematics and Statistics, University of Victoria, V8W 3P4 Victoria, British Columbia, Canada
Abstract:
A threshold parameter R
0 is identified for an SIRS epidemiological model which has nonlinear incidence and a distributed delay for transfer out of the removed class. For R
0 < 1, the disease free equilibrium is proved to be the global attractor for all solutions.Research supplied in part by NSERC A-8965