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Stationary distributions in Kolmogorov-Petrovski- Piskunov-type models with an infinite number of particles

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  • Stanislav Molchanov
  • Joseph Whitmeyer

Abstract

A model of population dynamics in continuous time on the lattice contains the Kolmogorov-Petrovski-Piskunov equation as a special case. A limit distribution exists. The first three moments and the correlation function are expressed.

Suggested Citation

  • Stanislav Molchanov & Joseph Whitmeyer, 2017. "Stationary distributions in Kolmogorov-Petrovski- Piskunov-type models with an infinite number of particles," Mathematical Population Studies, Taylor & Francis Journals, vol. 24(3), pages 147-160, July.
    • Handle: RePEc:taf:mpopst:v:24:y:2017:i:3:p:147-160
    DOI: 10.1080/08898480.2017.1330010
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    References listed on IDEAS

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    1. Elena B. Yarovaya, 2013. "Branching Random Walks With Several Sources-super-," Mathematical Population Studies, Taylor & Francis Journals, vol. 20(1), pages 14-26, March.
    2. Dawson, Donald A. & Fleischmann, Klaus, 1988. "Strong clumping of critical space-time branching models in subcritical dimensions," Stochastic Processes and their Applications, Elsevier, vol. 30(2), pages 193-208, December.
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    Cited by:

    1. Daria Balashova & Stanislav Molchanov & Elena Yarovaya, 2021. "Structure of the Particle Population for a Branching Random Walk with a Critical Reproduction Law," Methodology and Computing in Applied Probability, Springer, vol. 23(1), pages 85-102, March.
    2. Yaqin Feng & Stanislav Molchanov & Elena Yarovaya, 2021. "Stability and Instability of Steady States for a Branching Random Walk," Methodology and Computing in Applied Probability, Springer, vol. 23(1), pages 207-218, March.

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