An allelopathic competition model with quorum sensing and delayed toxicant production.
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.
Fergola
Paolo
P
Dipartimento 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.
Cerasuolo
Marianna
M
Beretta
Edoardo
E