Population model with immigration in continuous space

Chernousova, Elena; Hryniv, Ostap; Molchanov, Stanislav

doi:10.1080/08898480.2019.1626189

Population model with immigration in continuous space

Chernousova, Elena; Hryniv, Ostap; Molchanov, Stanislav

Authors

Elena Chernousova

Dr Ostap Hryniv ostap.hryniv@durham.ac.uk
Associate Professor

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.

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

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Copyright Statement
This is an Accepted Manuscript of an article published by Taylor & Francis in Mathematical Population Studies on 3rd July 2019, available online: http://www.tandfonline.com/10.1080/08898480.2019.1626189