An allelopathic competition model with quorum sensing and delayed toxicant production

Paolo Fergola*, Marianna Cerasuolo, Edoardo Beretta

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The dynamics of a differential functional equation system representing an allelopathic competition is analyzed. The delayed allelochemical production process is represented by means of a distributed delay term in a linear quorum-sensing model. Sufficient conditions for local asymptotic stability properties of biologically meaningful steady-state solutions are given in terms of the parameters of the system. A global asymptotic stability result is also proved by constructing a suitable Lyapunov functional. Some simulations confirm the analytical results.

Original languageEnglish
Pages (from-to)37-50
Number of pages14
JournalMathematical Biosciences and Engineering
Volume3
Issue number1
Early online date1 Nov 2005
DOIs
Publication statusPublished - 1 Jan 2006

Keywords

  • Allelopathy
  • Chemostat models
  • Distributed delay
  • Global stability
  • Quorum sensing

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