An allelopathic competition model with quorum sensing and delayed toxicant production

Paolo Fergola; Marianna Cerasuolo; Edoardo Beretta

doi:10.3934/mbe.2006.3.37

Article Contents

2006, Volume 3, Issue 1: 37-50. Doi: 10.3934/mbe.2006.3.37

This issue Previous Article Nonlinear semelparous Leslie models Next Article Simulation of structured populations in chemically stressed environments

An allelopathic competition model with quorum sensing and delayed toxicant production

1.
Dipartimento di Matematica e Applicazioni ''R. Caccioppoli", Università degli Studi di Napoli Federico II, Complesso di Monte S. Angelo, Via Cintia, 80126 Napoli
2.
Istituto di Biomatematica, Università degli Studi di Urbino, Località Crocicchia, I-61029 Urbino

Received: January 2005

Revised: April 2005

Published: November 2005

Abstract / Introduction Related Papers Cited by

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.

Keywords:

Mathematics Subject Classification: 93D20,34D20,34D23,92B05.

Citation:

Article Metrics

HTML views() PDF downloads(65) Cited by(0)

An allelopathic competition model with quorum sensing and delayed toxicant production

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

An allelopathic competition model with quorum sensing and delayed toxicant production

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content