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Population model with immigration in continuous space

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  • Elena Chernousova
  • Ostap Hryniv
  • Stanislav Molchanov

Abstract

In a population model in continuous space, individuals evolve independently as branching random walks subject to immigration. If the underlying branching mechanism is subcritical, the model has a unique steady state for each value of the immigration intensity. Convergence to the equilibrium is exponentially fast. The resulting dynamics are Lyapunov stable in that their qualitative behavior does not change under suitable perturbations of the main parameters of the model.

Suggested Citation

  • Elena Chernousova & Ostap Hryniv & Stanislav Molchanov, 2020. "Population model with immigration in continuous space," Mathematical Population Studies, Taylor & Francis Journals, vol. 27(4), pages 199-215, October.
    • Handle: RePEc:taf:mpopst:v:27:y:2020:i:4:p:199-215
    DOI: 10.1080/08898480.2019.1626189
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    Cited by:

    1. Vladimir Kutsenko & Stanislav Molchanov & Elena Yarovaya, 2024. "Branching Random Walks in a Random Killing Environment with a Single Reproduction Source," Mathematics, MDPI, vol. 12(4), pages 1-22, February.

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