Data di Pubblicazione:
2014
Citazione:
Local versus nonlocal interactions in a reaction-diffusion
system of population dynamics / F. Punzo, T. Savitska. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - 25:2(2014), pp. 191-216. [10.4171/RLM/674]
Abstract:
We study existence of patterns for a reaction-diffusion system of population dynamics with nonlocal interaction. We address the system as a bifurcation problem (the bifurcation parameter being the diffusivity of one species), and investigate the possibility of patterns bifurcating out of a constant steady state solution via Turing destabilization. It is shown that the nonlocal character of the interaction enhances the possibility that patterns exist with respect to the case of the companion problem with local interaction.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Asymptotically stable solutions; Bifurcation point; Nonlocal term; Patterns; Turing destabilization
Elenco autori:
F. Punzo, T. Savitska
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