Influence of diffusion and convection on the chemostat dynamics

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 rev...

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Bibliographic Details
Main Authors: Aleksei Vladimirovich Borisov, L. A. Krasnobaeva, Aleksandr Vasilievich Shapovalov
Format: Article
Language:Russian
Published: Institute of Computer Science 2012-03-01
Series:Компьютерные исследования и моделирование
Subjects:
Online Access:http://crm.ics.org.ru/uploads/crmissues/crm_2012_1/12111.pdf
Description
Summary: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.
ISSN:2076-7633
2077-6853