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Convection effect on two-dimensional dynamics in the nonlocal reaction-diffusion model
Computer Research and Modeling, 2011, v. 3, no. 1, pp. 55-61Views (last year): 3. Citations: 1 (RSCI).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.
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Influence of diffusion and convection on the chemostat dynamics
Computer Research and Modeling, 2012, v. 4, no. 1, pp. 121-129Views (last year): 1.Population dynamics is considered in a modified chemostat model including diffusion, chemotaxis, and nonlocal competitive losses. To account for influence of the external environment on the population of the ecosystem, a random parameter is included into the model equations. Computer simulations reveal three dynamic modes depending on system parameters: the transition from initial state to a spatially homogeneous steady state, to a spatially inhomogeneous distribution of population density, and elimination of population density.
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International Interdisciplinary Conference "Mathematics. Computing. Education"