Dynamics of an SIR epidemic model with stage structure and pulse vaccination View Full Text


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Article Info

DATE

2016-12

AUTHORS

Airen Zhou, Pairote Sattayatham, Jianjun Jiao

ABSTRACT

Pulse vaccination is an important strategy to eradicate an infectious disease. In this paper, we investigate an SIR epidemic model with stage structure and pulse vaccination. By using the discrete dynamical system determined by stroboscopic map, we obtain the conditions for the global asymptotical stability of the infection-free periodic solution of the studied system. The permanent conditions of the investigated system are also given. The results indicate that a large pulse vaccination rate is a sufficient condition to eradicate the disease. It provides a reliable tactic basis for preventing the epidemic outbreak. More... »

PAGES

140

References to SciGraph publications

  • 1989. Three Basic Epidemiological Models in APPLIED MATHEMATICAL ECOLOGY
  • 2016-10. Dynamics of an SIR model with vertical transmission and impulsive dispersal in JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
  • 2015-12. A delayed SIR model with general nonlinear incidence rate in ADVANCES IN DIFFERENCE EQUATIONS
  • 2008-09. Floquet theory: a useful tool for understanding nonequilibrium dynamics in THEORETICAL ECOLOGY
  • 1998-11. Pulse vaccination strategy in the SIR epidemic model in BULLETIN OF MATHEMATICAL BIOLOGY
  • 2012-12. Global dynamics for an SIR patchy model with susceptibles dispersal in ADVANCES IN DIFFERENCE EQUATIONS
  • 2010-12. Qualitative analysis of a SIR epidemic model with saturated treatment rate in JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
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    http://scigraph.springernature.com/pub.10.1186/s13662-016-0853-z

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    DIMENSIONS

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