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Regulation Mechanisms in Spatial Stochastic Development Models

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Abstract

The aim of this paper is to analyze different regulation mechanisms in spatial continuous stochastic development models. We describe the density behavior for models with global mortality and local establishment rates. We prove that the local self-regulation via a competition mechanism (density dependent mortality) may suppress a unbounded growth of the averaged density if the competition kernel is superstable.

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Authors and Affiliations

  1. Institute of Mathematics, National Academy of Sciences of Ukraine, 01601, Kyiv, Ukraine

    Dmitri Finkelshtein

  2. Fakultät für Mathematik, Universität Bielefeld, 33615, Bielefeld, Germany

    Yuri Kondratiev

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  1. Dmitri Finkelshtein
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  2. Yuri Kondratiev
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Correspondence to Dmitri Finkelshtein.

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Finkelshtein, D., Kondratiev, Y. Regulation Mechanisms in Spatial Stochastic Development Models. J Stat Phys 136, 103–115 (2009). https://doi.org/10.1007/s10955-009-9764-7

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  • DOI: https://doi.org/10.1007/s10955-009-9764-7

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