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ANALYSIS AND MODELING OF COMPLEX LIVING SYSTEMS
Influence of diffusion and convection on the chemostat dynamics
A. V. Borisova, L. A. Krasnobaevaba, A. V. Shapovalovca a Tomsk State University, 36 Lenin Prospekt, Tomsk, 634050, Russia
b Siberian State Medical University, Moscowski Trakt, 2, Tomsk, 634050, Russia
c Tomsk State Polytechnic, 30 Lenin Prospekt, Tomsk, 634050, Russia
Abstract:
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.
Received: 09.02.2012 Revised: 05.03.2012
Citation:
A. V. Borisov, L. A. Krasnobaeva, A. V. Shapovalov, “Influence of diffusion and convection on the chemostat dynamics”, Computer Research and Modeling, 4:1 (2012), 121–129
Linking options:
https://www.mathnet.ru/eng/crm475 https://www.mathnet.ru/eng/crm/v4/i1/p121
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Abstract page: | 91 | Full-text PDF : | 44 | References: | 18 |
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