Exponential convergence of an epidemic model with continuously distributed delays

  • Authors:

  • Bing Xiao;Bingwen Liu

  • Affiliations:

  • Department of Mathematics, Hunan University of Arts and Science, Changde, Hunan 415000, PR China;College of Mathematics and Information Science, Jiaxing University, Jiaxing, Zhejiang 314001, PR China

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2008

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Abstract

In this paper the convergence behavior of an epidemic model with continuously distributed delays is considered. Some new sufficient conditions are established to ensure that all the solutions of the epidemic model with permitted initial conditions converge exponentially to zero.