Impulsive vaccination of an SEIRS model with time delay and varying total population size

Bull Math Biol. 2007 Feb;69(2):731-45. doi: 10.1007/s11538-006-9149-x. Epub 2006 Aug 11.

Abstract

Pulse vaccination is an effective and important strategy for the elimination of infectious diseases. A delayed SEIRS epidemic model with pulse vaccination and varying total population size is proposed in this paper. We point out, if R* < 1, the infectious population disappear so the disease dies out, while if R(*) > 1, the infectious population persist. Our results indicate that a long period of pulsing or a small pulse vaccination rate is sufficient condition for the permanence of the model.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Communicable Diseases / immunology*
  • Disease Outbreaks / prevention & control*
  • Humans
  • Models, Immunological*
  • Vaccination / methods*
  • Vaccination / standards