J4 ›› 2009, Vol. 44 ›› Issue (5): 67-73.

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Global qualitative analysis of a new SIR epidemic disease model with vertical transmission and pulse vaccination

ZHAO Wencai   

  1. College of Science, Shandong University of Science and Technology, Qingdao 266510, Shandong, China
  • Received:2008-12-02 Online:2009-05-16 Published:2009-11-18

Abstract:

An SIR epidemic disease model with saturated incidence rate and pulse vaccination is constructed. Based on  analysis of the model in constant cruitment and vertical transmission conditions, an infectionfree periodic solution is obtained, and the analysis of global stability of the infectionfree periodic solution is given. Also, the sufficient condition for permanence of the systemis obtained.

Key words: vertical transmission; pulse vaccination; periodic solution; global asymptotic stability; permanence

CLC Number: 

  • O175
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