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Stochastic Geometry for Population-Dynamic Modeling: A Dieckmann Model with Immovable Individuals

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Abstract

A study is performed of the main approaches to investigating the stochastic process of population dynamics. Continuous time and space and immovable individuals are used to derive a denumerable system of integrodifferential equations corresponding to the dynamics of the spatial momentum of this process. A way to find an approximate solution using the momentum approach is described.

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ACKNOWLEDGMENTS

The authors are grateful to Ulf Dieckmann for his helpful comments and formulating the problem. We also thank M.V. Nikolaev for his assistance in preparing this work.

Funding

This work was performed as part of the 2018–2019 HSE Academic Fund’s research project no. 18-05-0011. It was supported by the 5–100 program for the state support of leading universities of the Russian Federation.

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Authors and Affiliations

  1. Higher School of Economics (National Research University), 101000, Moscow, Russia

    E. G. Galkin

  2. Department of Computational Mathematics and Cybernetics, Moscow State University, 119991, Moscow, Russia

    A. A. Nikitin

Authors
  1. E. G. Galkin
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  2. A. A. Nikitin
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Corresponding authors

Correspondence to E. G. Galkin or A. A. Nikitin.

Additional information

Translated by A. Muravnik

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Galkin, E.G., Nikitin, A.A. Stochastic Geometry for Population-Dynamic Modeling: A Dieckmann Model with Immovable Individuals. MoscowUniv.Comput.Math.Cybern. 44, 61–68 (2020). https://doi.org/10.3103/S027864192002003X

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  • DOI: https://doi.org/10.3103/S027864192002003X

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