A reaction-diffusion system modeling the predation between two species is analyzed in the case in which the predators have to search, share and compete for food. The boundedness and uniqueness of the solutions is proved and conditions guaranteeing the global nonlinear asymptotic stability of the positive equilibrium point have been found. These conditions improve those ones present in the existing literature.
Global Stability for a binary reaction-diffusion Lotka-Volterra model with ratio-dependent functional response / Capone, Florinda; DE LUCA, Roberta. - In: ACTA APPLICANDAE MATHEMATICAE. - ISSN 0167-8019. - 132:(2014), pp. 151-163. [10.1007/s10440-014-9900-5]
Global Stability for a binary reaction-diffusion Lotka-Volterra model with ratio-dependent functional response
CAPONE, FLORINDA;DE LUCA, ROBERTA
2014
Abstract
A reaction-diffusion system modeling the predation between two species is analyzed in the case in which the predators have to search, share and compete for food. The boundedness and uniqueness of the solutions is proved and conditions guaranteeing the global nonlinear asymptotic stability of the positive equilibrium point have been found. These conditions improve those ones present in the existing literature.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
