Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A DELAYED SIR EPIDEMIC MODEL WITH NONLINEAR INCIDENCE RATE AND PULSE VACCINATION

  • Du, Yanke (Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College) ;
  • Xu, Rui (Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College)
  • Received : 2009.10.12
  • Accepted : 2010.01.16
  • Published : 2010.09.30
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Abstract

An SIR epidemic model with pulse vaccination and time delay describing infection period is investigated. The global attractiveness of the infection-free periodic solution is discussed, and sufficient condition is obtained for the permanence of the system. Our results indicate that a large vaccination rate or a short period of pulsing leads to the eradication of the disease.

Keywords

References

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