E Chernousova
Steady states of lattice population models with immigration
Chernousova, E; Feng, Y; Hryniv, O; Molchanov, S; Whitmeyer, J
Authors
Abstract
In a lattice population model where individuals evolve as subcritical branching random walks subject to external immigration, the cumulants are estimated and the existence of the steady state is proved. The resulting dynamics are Lyapunov stable in that their qualitative behavior does not change under suitable perturbations of the main parameters of the model. An explicit formula of the limit distribution is derived in the solvable case of no birth. Monte Carlo simulation shows the limit distribution in the solvable case.
Citation
Chernousova, E., Feng, Y., Hryniv, O., Molchanov, S., & Whitmeyer, J. (2021). Steady states of lattice population models with immigration. Mathematical Population Studies, 28(2), 63-80. https://doi.org/10.1080/08898480.2020.1767411
Journal Article Type | Article |
---|---|
Online Publication Date | Jun 12, 2020 |
Publication Date | 2021 |
Deposit Date | Aug 8, 2018 |
Publicly Available Date | Dec 12, 2021 |
Journal | Mathematical Population Studies |
Print ISSN | 0889-8480 |
Electronic ISSN | 1547-724X |
Publisher | Taylor and Francis Group |
Peer Reviewed | Peer Reviewed |
Volume | 28 |
Issue | 2 |
Pages | 63-80 |
DOI | https://doi.org/10.1080/08898480.2020.1767411 |
Public URL | https://durham-repository.worktribe.com/output/1318261 |
Files
Accepted Journal Article
(478 Kb)
PDF
Copyright Statement
This is an Accepted Manuscript of an article published by Taylor & Francis in Mathematical population studies on 12 June 2020 available online: http://www.tandfonline.com/10.1080/08898480.2020.1767411
You might also like
Branching random walk in a random time-independent environment
(2022)
Journal Article
Population model with immigration in continuous space
(2019)
Journal Article
Stochastic Model of Microtubule Dynamics
(2017)
Journal Article
Random processes
(2015)
Book Chapter
Random walk in mixed random environment without uniform ellipticity
(2013)
Journal Article
Downloadable Citations
About Durham Research Online (DRO)
Administrator e-mail: dro.admin@durham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search