Stability analysis for the disease free equilibrium of a discrete malaria model with two delays

  • Authors:

  • Chunqing Wu;Yanxin Zhang

  • Affiliations:

  • School of Mathematics and Physics, Changzhou University, Changzhou, China;School of Mathematics and Physics, Changzhou University, Changzhou, China

  • Venue:
  • ICIC'12 Proceedings of the 8th international conference on Intelligent Computing Theories and Applications
  • Year:
  • 2012

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Abstract

A discrete-time model is established to show the transmission of malaria between humans and mosquitoes with the incubation periods of parasites within both human and mosquito concerned. It is proved that the disease free equilibrium of the model is globally asymptotically stable when the basic reproduction number is less than 1 by constructing appropriate Lyapunov functions.