Convection effect on two-dimensional dynamics in the nonlocal reaction-diffusion model

Borisov A.V., Trifonov A.Y., Shapovalov A.V.
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Pattern formation described by the scalar Fisher–Kolmogorov–Petrovsky–Piscounov equation with nonlocal competition loses and convection linear on coordinates is considered numerically. Initial function localized around a point is shown to transform in a function localized around a ring with symmetrically sited local maxima. The ring radius and number of maxima depend on convection.

Keywords: reaction-diffusion, convection, nonlocal competition losses, Fisher–Kolmogorov–Petrovsky–Piscounov equation
Citation in English: Borisov A.V., Trifonov A.Y., Shapovalov A.V. Convection effect on two-dimensional dynamics in the nonlocal reaction-diffusion model // Computer Research and Modeling, 2011, vol. 3, no. 1, pp. 55-61
Citation in English: Borisov A.V., Trifonov A.Y., Shapovalov A.V. Convection effect on two-dimensional dynamics in the nonlocal reaction-diffusion model // Computer Research and Modeling, 2011, vol. 3, no. 1, pp. 55-61
DOI: 10.20537/2076-7633-2011-3-1-55-61
URL: http://crm-en.ics.org.ru/journal/article/1757/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
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