Analytic and Simulation Modeling of Plant-Animal Populations in Russian Tundra

Trashcheev Rostislav; Boranbayev Askar; Boranbayev Seilkhan; Sarancha Dmitry; Lyulyakin Oleg; Yurezanskaya Yulia

doi:doi:10.11648/j.cbb.20140203.13

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Analytic and Simulation Modeling of Plant-Animal Populations in Russian Tundra

Trashcheev Rostislav, Boranbayev Askar, Boranbayev Seilkhan, Sarancha Dmitry, Lyulyakin Oleg, Yurezanskaya Yulia

Published in Computational Biology and Bioinformatics (Volume 2, Issue 3)

Received: 26 June 2014 Accepted: 8 July 2014 Published: 20 July 2014

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Abstract

This article describes a mathematical modeling method of an ecological biology system; this method uses computers. Hypotheses about the leading mechanisms of fluctuations for tundra animals population’s number are formulated. An analysis of difference and differential equations and their manifestations in the community model “vegetation – lemmings – arctic foxes” and in an individual-oriented model of a lemming population are performed. This method uses research results including a full set of operations, namely from a substantiation of an object choice, a selection and processing of a biological information to the construction of a set of interconnected models. The given approach is used in the analysis of animal fluctuations by means of the tundra community models “vegetation – lemmings – arctic foxes”, “vegetation – reindeer”, and the individual-oriented model of the lemming population.

Published in	Computational Biology and Bioinformatics (Volume 2, Issue 3)
DOI	10.11648/j.cbb.20140203.13
Page(s)	43-51
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2014. Published by Science Publishing Group

Keywords

Ecology of Biosystems, Tundra Populations, Chaos, System Dynamics

References

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[2]	C.J. Topping, T. Dalkvist, and V. Grimm, “Post-hoc pattern-oriented testing and tuning of an existing large model: lessons from the field vole”, Plos One, vol. 7, no. 9, Article Number: e45872, 2012.
[3]	V. N. Glushkov and D. A. Sarancha, “A complex mathematical modeling method for biological objects. Modeling the tundra community”, Automation and Remote Control, vol. 74, no. 2, pp. 240–251, 2013.
[4]	S.N. Boranbayev, D.A. Sarancha, R. Taberkhan, and R.V. Trashcheev, “Applying of combined methods for initiation of mathematical modeling of biogeocenosis in the different region of Kazakhstan (individual-oriented models)”, Bulletin of Gumilyov’s Eurasian National University, Special Issue, pp.133–142, 2012.
[5]	D.A. Sarancha, O.P. Lyulyakin, and R.V. Trashcheev, “Interaction of simulation and analytic methods in modeling of ecological and biological objects”, Russian Journal of Numerical Analysis and Mathematical Modeling, vol. 27, no. 5, pp. 479–492, 2012.
[6]	F. B. Chernyavskyi and A. N. Lazutkin, The Cycles Lemmings and Voles in the North, Magadan: Russian Academy of Sciences, Far East Branch, North-East Scientific Center, Institute of Biological Problems in the North, 2004.
[7]	D.A. Sarancha, Kolichestvennye metody v ekologii. Biofizicheskie aspekty i matematicheskoe modelirovanie (Quantitative Methods in Ecology: Biophysical Aspects and Mathematical Modeling), Moscow: Mosk. Fiz.-Tekh. Inst., 1997.
[8]	J. Murray, Mathematical Biology, vol.1, Springer-Verlag, New York, 2007.
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[10]	E. V. Nedostupov, D. A. Sarancha, E. N. Chigerev, and Yu. S. Yurezanskaya, “Some properties of one-dimensional unimodal mappings”, Doklady Mathematics, vol. 81, no. 1, pp. 16–21, 2010.
[11]	V.A. Orlov, D.A. Sarancha, and O.A. Shelepova, “Mathematical-model of the numerical dynamics of lemmings (Lemmus, Dicrostonyx) and its application for describing the populations of West Taimyr”, Soviet Journal of Ecology, vol. 17, no. 2, pp.97–104, 1986.
[12]	F.A. Pitelka and G.O. Batzli, “Population cycle of lemmings near Barrow, Alaska: a history review”, Acta Theriologica, vol. 52, no. 3, pp. 323–336, 2007.
[13]	V. D. Perminov and D. A. Sarancha, “On some ap-proach to solving population ecology problems”, Matem. Mod., vol. 15, no. 11, pp. 121–128, 2003.
[14]	A.I. Lobanov, D.A. Sarancha, and T.K. Starozhilova, “Seasonality in the Lotka–Volterra model”, Biofizika, vol. 47, no. 2, pp. 325–330, 2002.
[15]	V.N. Lopatin and B.D. Abaturov, “Mathematical Modeling of Тrophically Dependent Cycle of Reindeer (Rangifer Tarandus) Population”, Zoologichesky Zhurnal, vol. 79, no. 4, pp. 452–460, 2000.
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APA Style

Trashcheev Rostislav, Boranbayev Askar, Boranbayev Seilkhan, Sarancha Dmitry, Lyulyakin Oleg, et al. (2014). Analytic and Simulation Modeling of Plant-Animal Populations in Russian Tundra. Computational Biology and Bioinformatics, 2(3), 43-51. https://doi.org/10.11648/j.cbb.20140203.13

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ACS Style

Trashcheev Rostislav; Boranbayev Askar; Boranbayev Seilkhan; Sarancha Dmitry; Lyulyakin Oleg, et al. Analytic and Simulation Modeling of Plant-Animal Populations in Russian Tundra. Comput. Biol. Bioinform. 2014, 2(3), 43-51. doi: 10.11648/j.cbb.20140203.13

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AMA Style

Trashcheev Rostislav, Boranbayev Askar, Boranbayev Seilkhan, Sarancha Dmitry, Lyulyakin Oleg, et al. Analytic and Simulation Modeling of Plant-Animal Populations in Russian Tundra. Comput Biol Bioinform. 2014;2(3):43-51. doi: 10.11648/j.cbb.20140203.13

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@article{10.11648/j.cbb.20140203.13,
  author = {Trashcheev Rostislav and Boranbayev Askar and Boranbayev Seilkhan and Sarancha Dmitry and Lyulyakin Oleg and Yurezanskaya Yulia},
  title = {Analytic and Simulation Modeling of Plant-Animal Populations in Russian Tundra},
  journal = {Computational Biology and Bioinformatics},
  volume = {2},
  number = {3},
  pages = {43-51},
  doi = {10.11648/j.cbb.20140203.13},
  url = {https://doi.org/10.11648/j.cbb.20140203.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.cbb.20140203.13},
  abstract = {This article describes a mathematical modeling method of an ecological biology system; this method uses computers. Hypotheses about the leading mechanisms of fluctuations for tundra animals population’s number are formulated. An analysis of difference and differential equations and their manifestations in the community model “vegetation – lemmings – arctic foxes” and in an individual-oriented model of a lemming population are performed. This method uses research results including a full set of operations, namely from a substantiation of an object choice, a selection and processing of a biological information to the construction of a set of interconnected models. The given approach is used in the analysis of animal fluctuations by means of the tundra community models “vegetation – lemmings – arctic foxes”, “vegetation – reindeer”, and the individual-oriented model of the lemming population.},
 year = {2014}
}

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TY  - JOUR
T1  - Analytic and Simulation Modeling of Plant-Animal Populations in Russian Tundra
AU  - Trashcheev Rostislav
AU  - Boranbayev Askar
AU  - Boranbayev Seilkhan
AU  - Sarancha Dmitry
AU  - Lyulyakin Oleg
AU  - Yurezanskaya Yulia
Y1  - 2014/07/20
PY  - 2014
N1  - https://doi.org/10.11648/j.cbb.20140203.13
DO  - 10.11648/j.cbb.20140203.13
T2  - Computational Biology and Bioinformatics
JF  - Computational Biology and Bioinformatics
JO  - Computational Biology and Bioinformatics
SP  - 43
EP  - 51
PB  - Science Publishing Group
SN  - 2330-8281
UR  - https://doi.org/10.11648/j.cbb.20140203.13
AB  - This article describes a mathematical modeling method of an ecological biology system; this method uses computers. Hypotheses about the leading mechanisms of fluctuations for tundra animals population’s number are formulated. An analysis of difference and differential equations and their manifestations in the community model “vegetation – lemmings – arctic foxes” and in an individual-oriented model of a lemming population are performed. This method uses research results including a full set of operations, namely from a substantiation of an object choice, a selection and processing of a biological information to the construction of a set of interconnected models. The given approach is used in the analysis of animal fluctuations by means of the tundra community models “vegetation – lemmings – arctic foxes”, “vegetation – reindeer”, and the individual-oriented model of the lemming population.
VL  - 2
IS  - 3
ER  -

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Author Information

Trashcheev Rostislav

Institute of Fundamental Problems of Biology of the Russian Academy of Sciences, Pushchino, Russia
Boranbayev Askar

Nazarbayev University, Astana, Republic of Kazakhstan
Boranbayev Seilkhan

L. N. Gumilyov Eurasian National University, Astana, Republic of Kazakhstan
Sarancha Dmitry

Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow, Russia
Lyulyakin Oleg

Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow, Russia
Yurezanskaya Yulia

Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow, Russia

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Plain Text BibTeX RIS

APA Style

Trashcheev Rostislav, Boranbayev Askar, Boranbayev Seilkhan, Sarancha Dmitry, Lyulyakin Oleg, et al. (2014). Analytic and Simulation Modeling of Plant-Animal Populations in Russian Tundra. Computational Biology and Bioinformatics, 2(3), 43-51. https://doi.org/10.11648/j.cbb.20140203.13

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ACS Style

Trashcheev Rostislav; Boranbayev Askar; Boranbayev Seilkhan; Sarancha Dmitry; Lyulyakin Oleg, et al. Analytic and Simulation Modeling of Plant-Animal Populations in Russian Tundra. Comput. Biol. Bioinform. 2014, 2(3), 43-51. doi: 10.11648/j.cbb.20140203.13

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AMA Style

Trashcheev Rostislav, Boranbayev Askar, Boranbayev Seilkhan, Sarancha Dmitry, Lyulyakin Oleg, et al. Analytic and Simulation Modeling of Plant-Animal Populations in Russian Tundra. Comput Biol Bioinform. 2014;2(3):43-51. doi: 10.11648/j.cbb.20140203.13

Copy | Download

@article{10.11648/j.cbb.20140203.13,
  author = {Trashcheev Rostislav and Boranbayev Askar and Boranbayev Seilkhan and Sarancha Dmitry and Lyulyakin Oleg and Yurezanskaya Yulia},
  title = {Analytic and Simulation Modeling of Plant-Animal Populations in Russian Tundra},
  journal = {Computational Biology and Bioinformatics},
  volume = {2},
  number = {3},
  pages = {43-51},
  doi = {10.11648/j.cbb.20140203.13},
  url = {https://doi.org/10.11648/j.cbb.20140203.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.cbb.20140203.13},
  abstract = {This article describes a mathematical modeling method of an ecological biology system; this method uses computers. Hypotheses about the leading mechanisms of fluctuations for tundra animals population’s number are formulated. An analysis of difference and differential equations and their manifestations in the community model “vegetation – lemmings – arctic foxes” and in an individual-oriented model of a lemming population are performed. This method uses research results including a full set of operations, namely from a substantiation of an object choice, a selection and processing of a biological information to the construction of a set of interconnected models. The given approach is used in the analysis of animal fluctuations by means of the tundra community models “vegetation – lemmings – arctic foxes”, “vegetation – reindeer”, and the individual-oriented model of the lemming population.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - Analytic and Simulation Modeling of Plant-Animal Populations in Russian Tundra
AU  - Trashcheev Rostislav
AU  - Boranbayev Askar
AU  - Boranbayev Seilkhan
AU  - Sarancha Dmitry
AU  - Lyulyakin Oleg
AU  - Yurezanskaya Yulia
Y1  - 2014/07/20
PY  - 2014
N1  - https://doi.org/10.11648/j.cbb.20140203.13
DO  - 10.11648/j.cbb.20140203.13
T2  - Computational Biology and Bioinformatics
JF  - Computational Biology and Bioinformatics
JO  - Computational Biology and Bioinformatics
SP  - 43
EP  - 51
PB  - Science Publishing Group
SN  - 2330-8281
UR  - https://doi.org/10.11648/j.cbb.20140203.13
AB  - This article describes a mathematical modeling method of an ecological biology system; this method uses computers. Hypotheses about the leading mechanisms of fluctuations for tundra animals population’s number are formulated. An analysis of difference and differential equations and their manifestations in the community model “vegetation – lemmings – arctic foxes” and in an individual-oriented model of a lemming population are performed. This method uses research results including a full set of operations, namely from a substantiation of an object choice, a selection and processing of a biological information to the construction of a set of interconnected models. The given approach is used in the analysis of animal fluctuations by means of the tundra community models “vegetation – lemmings – arctic foxes”, “vegetation – reindeer”, and the individual-oriented model of the lemming population.
VL  - 2
IS  - 3
ER  -

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