Population model with immigration in continuous space

Elena Chernousova, Ostap Hryniv and Stanislav Molchanov

Mathematical Population Studies, 2020, vol. 27, issue 4, 199-215

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.

Date: 2020
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DOI: 10.1080/08898480.2019.1626189

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