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. - In: RICERCHE DI MATEMATICA. - ISSN 1827-3491. - STAMPA. - 57:(2008), pp. 137-157. [10.1007/s11587-008-0026-9]
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 | Dimensione | Formato | |
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