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.
Citation:
I. V. Afanasyev, “A cellular automata model of three organisms populations in lake Baikal”, Sib. Zh. Vychisl. Mat., 17:3 (2014), 217–227; Num. Anal. Appl., 7:3 (2014), 181–190
\Bibitem{Afa14}
\by I.~V.~Afanasyev
\paper A cellular automata model of three organisms populations in lake Baikal
\jour Sib. Zh. Vychisl. Mat.
\yr 2014
\vol 17
\issue 3
\pages 217--227
\mathnet{http://mi.mathnet.ru/sjvm544}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3409482}
\transl
\jour Num. Anal. Appl.
\yr 2014
\vol 7
\issue 3
\pages 181--190
\crossref{https://doi.org/10.1134/S199542391403001X}
Linking options:
https://www.mathnet.ru/eng/sjvm544
https://www.mathnet.ru/eng/sjvm/v17/i3/p217
This publication is cited in the following 2 articles:
I. V. Matyushkin, M. A. Zapletina, “Obzor po tematike kletochnykh avtomatov na baze sovremennykh otechestvennykh publikatsii”, Kompyuternye issledovaniya i modelirovanie, 11:1 (2019), 9–57
O. L. Bandman, A. E. Kireeva, “Stochastic cellular automata simulation of oscillations and autowaves in reaction-diffusion systems”, Num. Anal. Appl., 8:3 (2015), 208–222