Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission

A precise definition of the basic reproduction number, R0, is presented for a general compartmental disease transmission model based on a system of ordinary differential equations

P. van den Driessche; James Watmough

2003

Scholarcy highlights

  • A precise definition of the basic reproduction number, R0, is presented for a general compartmental disease transmission model based on a system of ordinary differential equations
  • R0 is a threshold parameter for the model
  • An analysis of the local centre manifold yields a simple criterion for the existence and stability of super- and sub-threshold endemic equilibria for R0 near one
  • Research supported in part by an NSERC Research Grant, the University of Victoria Committee on faculty research and travel and MITACS
  • Research supported by an NSERC Postdoctoral Fellowship tenured at the University of Victoria

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