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Updated: Jun 14, 2026

Synthesis and Assay of Vibrio Quorum Sensing Inhibitors
Published on: May 31, 2024
An allelopathic competition model with quorum sensing and delayed toxicant production
Paolo Fergola1, Marianna Cerasuolo, Edoardo Beretta
1Dipartimento di Matematica e Applicazioni "R. Caccioppoli" Universita degli Studi di Napoli Federico II Complesso di Monte S. Angelo, Via Cintia, 80126 Napoli, Italy. paolo.fergola@dma.unina.it.
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.
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