On the influence of Quorum Sensing in the competition between bacteria and immune system of invertebrates

Paolo Fergola*, Juan Zhang, Marianna Cerasuolo, Zhien Ma

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The competition between bacteria and innate immune system of invertebrate animals is described by means of ODEs. Two different systems are considered corresponding to the absence or the presence of Quorum Sensing (Q.S.) mechanism. Qualitative properties of the solutions of both systems as well as the stability of their meaningful equilibria are analyzed. By constructing suitable Lyapunov functions, global asymptotic stability results have been proved when the quorum sensing is absent. In order to better illustrate the dynamics of competition, some numerical simulations, obtained by means of MATHEMATICA (Wolfram Research, 1989) are presented.

Original languageEnglish
Title of host publicationCollective Dynamics: Topics on Competition and Cooperation in the Biosciences
Subtitle of host publication A selection of papers in the Proceedings of the BIOCOMP2007 International Conference
EditorsLuigi M. Ricciardi, Aniello Buonocore, Enrica Pirozzi
Pages215-232
Number of pages18
DOIs
Publication statusPublished - 11 Sep 2008
EventInternational Conference on Collective Dynamics: Topics on Competition and Cooperation in the Biosciences - Vietri sul Mare, Italy
Duration: 24 Nov 200729 Nov 2007

Publication series

NameAIP Conference Proceedings
Volume1028
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Collective Dynamics: Topics on Competition and Cooperation in the Biosciences
Abbreviated titleBIOCOMP2007
Country/TerritoryItaly
CityVietri sul Mare
Period24/11/0729/11/07

Keywords

  • Asymptotic stability
  • Bacterial infections
  • Innate immunity
  • Invertebrate species
  • Quorum sensing

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