A general class of lumped parameter models describing the local dynamics of a tri-trophic chain in a controlled environment is analyzed in detail. The trophic functions characterizing the interactions are defined only by some properties and allow us to treat both prey-dependent and ratio-dependent models in a unified manner. Conditions for existence and stability of extinction and coexistence equilibrium states are determined. Some peculiar aspects of the dynamics of the system depending on the bioecological parameters are presented, with particular attention to bistability situations, limit cycles and chaotic behaviours.
Modelling of predator--prey trophic interactions. Part II. Three trophic levels / Buffoni, G; Cassinari, M. P.; Groppi, Maria. - In: JOURNAL OF MATHEMATICAL BIOLOGY. - ISSN 0303-6812. - 54:(2007), pp. 623-644. [10.1007/s00285-006-0061-7]
Modelling of predator--prey trophic interactions. Part II. Three trophic levels
GROPPI, Maria
2007-01-01
Abstract
A general class of lumped parameter models describing the local dynamics of a tri-trophic chain in a controlled environment is analyzed in detail. The trophic functions characterizing the interactions are defined only by some properties and allow us to treat both prey-dependent and ratio-dependent models in a unified manner. Conditions for existence and stability of extinction and coexistence equilibrium states are determined. Some peculiar aspects of the dynamics of the system depending on the bioecological parameters are presented, with particular attention to bistability situations, limit cycles and chaotic behaviours.| File | Dimensione | Formato | |
|---|---|---|---|
|
Jmathbiol07.pdf
non disponibili
Tipologia:
Altro materiale allegato
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
651.83 kB
Formato
Adobe PDF
|
651.83 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
