Stability and bifurcation in plant-pathogens interactions

Bruno Buonomo, Marianna Cerasuolo

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Abstract

We consider a plant–pathogen interaction model and perform a bifurcation analysis at the threshold where the pathogen-free equilibrium loses its hyperbolicity. We show that a stimulatory–inhibitory host response to infection load may be responsible for the occurrence of multiple steady states via backward bifurcations. We also find sufficient conditions for the global stability of the pathogen-present equilibrium in case of null or linear inhibitory host response. The results are discussed in the framework of the recent literature on the subject.
Original languageEnglish
Pages (from-to)858-871
JournalApplied Mathematics and Computation
Volume232
Early online date16 Feb 2014
DOIs
Publication statusPublished - 1 Apr 2014

Keywords

  • Plant–pathogen interaction
  • Mathematical model
  • Bifurcation
  • Global stability

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