Influence of diffusion and convection on the chemostat dynamics

Borisov A.V., Krasnobaeva L.A., Shapovalov A.V.
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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.

Keywords: chemostat, diffusion, convection, population dynamics, nonlocal competitive losses
Citation in English: Borisov A.V., Krasnobaeva L.A., Shapovalov A.V. Influence of diffusion and convection on the chemostat dynamics // Computer Research and Modeling, 2012, vol. 4, no. 1, pp. 121-129
Citation in English: Borisov A.V., Krasnobaeva L.A., Shapovalov A.V. Influence of diffusion and convection on the chemostat dynamics // Computer Research and Modeling, 2012, vol. 4, no. 1, pp. 121-129
DOI: 10.20537/2076-7633-2012-4-1-121-129
URL: http://crm-en.ics.org.ru/journal/article/1862/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
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