Global dynamics behaviors for new delay SEIR epidemic disease model with vertical transmission and pulse vaccination View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2007-09

AUTHORS

Xin-zhu Meng, Lan-sun Chen, Zhi-tao Song

ABSTRACT

A robust SEIR epidemic disease model with a profitless delay and vertical transmission is formulated, and the dynamics behaviors of the model under pulse vaccination are analyzed. By use of the discrete dynamical system determined by the stroboscopic map, an ‘infection-free’ periodic solution is obtained, further, it is shown that the ‘infection-free’ periodic solution is globally attractive when some parameters of the model are under appropriate conditions. Using the theory on delay functional and impulsive differential equation, the sufficient condition with time delay for the permanence of the system is obtained, and it is proved that time delays, pulse vaccination and vertical transmission can bring obvious effects on the dynamics behaviors of the model. The results indicate that the delay is ‘profitless’. More... »

PAGES

1259-1271

References to SciGraph publications

  • 1983-07. Analysis of a model of a vertically transmitted disease in JOURNAL OF MATHEMATICAL BIOLOGY
  • 1996-12. Analysis of an SEIRS epidemic model with two delays in JOURNAL OF MATHEMATICAL BIOLOGY
  • 2000-06. A simple SIS epidemic model with a backward bifurcation in JOURNAL OF MATHEMATICAL BIOLOGY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10483-007-0914-x

    DOI

    http://dx.doi.org/10.1007/s10483-007-0914-x

    DIMENSIONS

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