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Numerical Analysis and Applications

2014 year, number 3

A cellular automata model of three organisms populations in lake Baikal

I.V. Afanasyev
Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Lavrentjeva, 6, Novosibirsk, Russia, 630090
Keywords: клеточный автомат, дискретное моделирование, динамика численности, Байкал, хищник-жертва, cellular automata, discrete modeling, populations dynamics, lake Baikal, prey-predator systems

Abstract

A cellular automata model of population dynamics of three organisms in Lake Baikal is proposed and investigated. Each species is divided into age groups. There are eight groups all together. The model allows one to take into account a spatial organisms distribution, a seasonal dependency of birth rates, a possible habitat pollution and water streams. A computational experiment was carried out for the case of pollution that is in the south area of lake Baikal. It demonstrates that the population dynamics tends to the oscillating process with a period equal to 1 year. The assessment of the critical pollution intensity which leads to the total extinction is presented. The model was verified within production-to-biomass and frequency of occurrence ratios.