The paper concerns the Beddington-DeAngelis predator-prey model, under Robin boundary conditions. General properties - such as boundedness, uniqueness and existence of invariant regions - are obtained. Linear stability (instability) threshold of the positive equilibrium state S (biologically meaningful) and diffusion-driven instability (Turing effect) are studied. In the framework of the L^2-energy stability, conditions guaranteeing stability and local attractiveness are obtained.

On the dynamics of predator-prey models with the Beddington-DeAngelis functional response, under Robin boundary conditions

CAPONE, FLORINDA
2008

Abstract

The paper concerns the Beddington-DeAngelis predator-prey model, under Robin boundary conditions. General properties - such as boundedness, uniqueness and existence of invariant regions - are obtained. Linear stability (instability) threshold of the positive equilibrium state S (biologically meaningful) and diffusion-driven instability (Turing effect) are studied. In the framework of the L^2-energy stability, conditions guaranteeing stability and local attractiveness are obtained.
File in questo prodotto:
File Dimensione Formato  
CapRic08.pdf

non disponibili

Tipologia: Documento in Post-print
Licenza: Accesso privato/ristretto
Dimensione 164.8 kB
Formato Adobe PDF
164.8 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.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11588/101501
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 19
  • ???jsp.display-item.citation.isi??? 19
social impact