Global stability of pathogen-immune dynamics with absorption

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Abstract

In this paper, we consider the global stability of the models which incorporate humoural immunity or cellmediated immunity.We consider the effect of loss of a pathogen, which is called the absorption effect when it infects an uninfected cells.We construct Lyapunov functions for these models under some conditions of parameters, and prove the global stability of the interior equilibria. It is impossible to remove the condition of parameters for the model incorporating humoural immunity.

Original languageEnglish
Pages (from-to)258-269
Number of pages12
JournalJournal of Biological Dynamics
Volume4
Issue number3
DOIs
Publication statusPublished - May 2010

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Keywords

  • Absorption
  • Global stability
  • Immunity
  • Lyapunov function

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology

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