Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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THE ANALYSIS OF SEXUALLY TRANSMITTED DISEASES WITH DEMOGRAPHICS ON SCALE-FREE NETWORK

  • Liu, Maoxing (Department of Mathematics, North University of China) ;
  • Zhang, Yunli (Department of Mathematics, North University of China)
  • Received : 2012.09.05
  • Accepted : 2012.11.04
  • Published : 2013.05.30
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Abstract

In this paper we consider a model with demographics for sexually transmitted diseases (STDs) spread on scale-free networks. We derive the epidemic threshold, which is depend on the birth rate, the natural death rate and other parameters. The absence of a threshold in infinite scale-free network is proved. For a hard cut off scale-free network, we also analyze the stability of disease-free equilibrium and the persistence of STDs infection. Two immunization schemes, proportional scheme and targeted vaccination, are studied and compared. We find that targeted strategy is more effective on scale-free networks.

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References

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