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A threshold result for an epidemiological model
Authors:Xiaodong Lin  P van den Driessche
Institution:(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
Keywords:Distributed delay  Epidemiological model  Global attractor  Threshold
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