Potential Turing instability and application to plant-insect models

Della Rossa, F., Fasani, S., & Rinaldi, S. (2012). Potential Turing instability and application to plant-insect models. Mathematical and Computer Modelling 55 (3) 1562-1569. 10.1016/j.mcm.2011.10.052.

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We show in this paper that the analysis of diffusion-induced instability in spatially extended models can be performed by separating local dynamics from diffusion. This is possible not only in the case studied by Turing, namely models with two interacting variables, but also in the general case of three or more variables. The advantage of this decomposition, based on the notion of potential Turing instability, is illustrated through the analysis of two spatially extended plant-insect models.

Item Type: Article
Uncontrolled Keywords: Turing instability; Diffusion-induced instability; Prey-predator models; Spatial pattern; Plant-insect models
Research Programs: Evolution and Ecology (EEP)
Bibliographic Reference: Mathematical and Computer Modelling; 55(3-4):1562-1569 (February 2012) (Published online 6 November 2011)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 08:46
Last Modified: 27 Aug 2021 17:39
URI: https://pure.iiasa.ac.at/10033

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