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MATHEMATICAL MODELING AND NUMERICAL SIMULATION
Convection effect on two-dimensional dynamicsin the nonlocal reaction-diffusion model
A. V. Borisova, A. Yu. Trifonovb, A. V. Shapovalova a Tomsk State University, 36 Lenin Prospekt, Tomsk, 634050, Russia
b Tomsk State Polytechnic University, 30 Lenin Prospekt, Tomsk, 634050, Russia
Abstract:
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.
Received: 10.02.2011
Citation:
A. V. Borisov, A. Yu. Trifonov, A. V. Shapovalov, “Convection effect on two-dimensional dynamicsin the nonlocal reaction-diffusion model”, Computer Research and Modeling, 3:1 (2011), 55–61
Linking options:
https://www.mathnet.ru/eng/crm547 https://www.mathnet.ru/eng/crm/v3/i1/p55
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Abstract page: | 103 | Full-text PDF : | 24 | References: | 19 |
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