Potential Turing instability and application to plant-insect model

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/13632 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/13632 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/13632 archive 351 disk0/00/01/02/41 2016-01-15 08:48:09 2021-08-27 17:22:59 2016-05-11 09:36:45 monograph show 2 Della Rossa F. Fasani S. Rinaldi S. 7286 Potential Turing instability and application to plant-insect model pub iis_ecl prog_eep 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. 2012 published IR-12-034 IR-12-034 253 public interim_report IIASA, Laxenburg, Austria 26 FALSE info:eu-repo/semantics/book