Population model with immigration in continuous space

Chernousova, Elena; Hryniv, Ostap; Molchanov, Stanislav

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.

Citation

Chernousova, E., Hryniv, O., & Molchanov, S. (2020). Population model with immigration in continuous space. Mathematical Population Studies, 27(4), 199-215. https://doi.org/10.1080/08898480.2019.1626189

• Journal Article Type: Article
• Acceptance Date: Apr 16, 2019
• Online Publication Date: Jul 3, 2019
• Publication Date: 2020
• Deposit Date: Jul 12, 2019
• Publicly Available Date: Jan 3, 2021
• Journal: Mathematical Population Studies
• Print ISSN: 0889-8480
• Electronic ISSN: 1547-724X
• Publisher: Taylor and Francis Group
• Peer Reviewed: Peer Reviewed
• Volume: 27
• Issue: 4
• Pages: 199-215
• DOI: https://doi.org/10.1080/08898480.2019.1626189
• Public URL: https://durham-repository.worktribe.com/output/1297573