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Mathematical Modeling of Population Dynamics Based on Recurrent Equations: Results and Prospects. Part II

  • THEORETICAL AND EVOLUTIONARY BIOLOGY
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Abstract

The second part of this article focuses on subjects devoted to mathematical modeling of the evolution of limited populations and migration affecting the dynamics of coupled populations and the patterns of their spatial distribution. The purpose of this article is to present developed approaches and mathematical discrete-time models to study the emergence of multistability, synchronization, and clustering in population systems.

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Funding

This work was conducted within the framework of State Assignments of the Institute for Complex Analysis of Regional Problems, Far East Branch, Russian Academy of Sciences, and the Institute of Automation and Control Processes, Far East Branch, Russian Academy of Sciences, and was supported by the Russian Foundation for Basic Research (project no. 19-14-50326).

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Authors and Affiliations

  1. Institute for Complex Analysis of Regional Problems, Far East Branch, Russian Academy of Sciences, 679016, Birobidzhan, Russia

    E. Ya. Frisman, O. L. Zhdanova, M. P. Kulakov, G. P. Neverova & O. L. Revutskaya

  2. Institute of Automation and Control Processes, Far East Branch, Russian Academy of Sciences, 690041, Vladivostok, Russia

    O. L. Zhdanova & G. P. Neverova

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  1. E. Ya. Frisman
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  2. O. L. Zhdanova
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  3. M. P. Kulakov
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  4. G. P. Neverova
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  5. O. L. Revutskaya
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Correspondence to G. P. Neverova.

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The authors declare that they have no conflict of interest. This article does not contain any studies involving animals or human participants performed by any of the authors.

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Translated by M. Batrukova

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Frisman, E.Y., Zhdanova, O.L., Kulakov, M.P. et al. Mathematical Modeling of Population Dynamics Based on Recurrent Equations: Results and Prospects. Part II. Biol Bull Russ Acad Sci 48, 239–250 (2021). https://doi.org/10.1134/S1062359021030055

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