Local versus nonlocal interactions in a reaction-diffusion system of population dynamics | Zendy

Fabio Punzo | Zendy; Tetiana Savitska | Zendy

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Local versus nonlocal interactions in a reaction-diffusion system of population dynamics

Author(s) -

Fabio Punzo,

Tetiana Savitska

Publication year - 2014

Publication title -

rendiconti lincei matematica e applicazioni

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.824

H-Index - 28

eISSN - 1720-0768

pISSN - 1120-6330

DOI - 10.4171/rlm/674

Subject(s) - bifurcation , reaction–diffusion system , turing , mathematics , population , dynamics (music) , constant (computer programming) , diffusion , statistical physics , steady state (chemistry) , state (computer science) , thermal diffusivity , character (mathematics) , mathematical analysis , nonlinear system , physics , geometry , thermodynamics , computer science , chemistry , quantum mechanics , algorithm , demography , sociology , acoustics , programming language

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

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