An allelopathic competition model with quorum sensing and delayed toxicant production.
Math Biosci Eng
; 3(1): 37-50, 2006 Jan.
Article
en En
| MEDLINE
| ID: mdl-20361806
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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Colección:
01-internacional
Base de datos:
MEDLINE
Idioma:
En
Revista:
Math Biosci Eng
Año:
2006
Tipo del documento:
Article
País de afiliación:
Italia