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Stability Analysis for the Disease Free Equilibrium of a Discrete Malaria Model with Two Delays

  • Chunqing Wu
  • Yanxin Zhang
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7390)

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.

Keywords

Malaria transmission Discrete time model Time delay Global stability Lyapunov function 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Chunqing Wu
    • 1
  • Yanxin Zhang
    • 1
  1. 1.School of Mathematics and PhysicsChangzhou UniversityChangzhouChina

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