Journal
PHYSICAL REVIEW E
Volume 100, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.100.042220
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Funding
- International Mobility of Researchers-MSCA-IF in Czech Technical University - Ministry of Education, Youth and Sports (MEYS) of the Czech Republic [CZ.02.2.69/0.0/0.0/17_050/0008025]
- European Regional Development Fund Project Center for Advanced Applied Science [CZ.02.1.01/0.0/0.0/16 019/0000778]
- Mathematical Institute at the University of Oxford
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The study of pattern emergence together with exploration of the exemplar Turing model is enjoying a renaissance both from theoretical and experimental perspective. Here, we implement a stability analysis of spatially dependent reaction kinetics by exploring the effect of a jump discontinuity within piecewise constant kinetic parameters, using various methods to identify and confirm the diffusion-driven instability conditions. Essentially, the presence of stability or instability in Turing models is a local property for piecewise constant kinetic parameters and, as such, may be analyzed locally. In particular, a local assessment of whether parameters are within the Turing space provides a strong indication that for a large enough region with these parameters, an instability can be induced.
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