Survival and complete convergence for a spatial branching system with local regulation
- Publikationstyp:
- Zeitschriftenaufsatz
- Metadaten:
-
- Autoren
- Matthias Birkner
- Andrei Depperschmidt
- Autoren-URL
- https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000250270600012&DestLinkType=FullRecord&DestApp=WOS_CPL
- DOI
- 10.1214/105051607000000221
- Externe Identifier
- Clarivate Analytics Document Solution ID: 222BH
- ISSN
- 1050-5164
- Ausgabe der Veröffentlichung
- 5-6
- Zeitschrift
- ANNALS OF APPLIED PROBABILITY
- Schlüsselwörter
- regulated population
- survival
- coexistence
- complete convergence
- Paginierung
- 1777 - 1807
- Datum der Veröffentlichung
- 2007
- Status
- Published
- Titel
- Survival and complete convergence for a spatial branching system with local regulation
- Sub types
- Article
- Ausgabe der Zeitschrift
- 17
Datenquelle: Web of Science (Lite)
- Andere Metadatenquellen:
-
- Autoren
- Matthias Birkner
- Andrej Depperschmidt
- DOI
- 10.1214/105051607000000221
- ISSN
- 1050-5164
- Ausgabe der Veröffentlichung
- 5-6
- Zeitschrift
- The Annals of Applied Probability
- Datum der Veröffentlichung
- 2007
- Status
- Published
- Herausgeber
- Institute of Mathematical Statistics
- Herausgeber URL
- http://dx.doi.org/10.1214/105051607000000221
- Datum der Datenerfassung
- 2021
- Titel
- Survival and complete convergence for a spatial branching system with local regulation
- Ausgabe der Zeitschrift
- 17
Datenquelle: Crossref
- Abstract
- We study a discrete time spatial branching system on $\mathbb{Z}^d$ with logistic-type local regulation at each deme depending on a weighted average of the population in neighboring demes. We show that the system survives for all time with positive probability if the competition term is small enough. For a restricted set of parameter values, we also obtain uniqueness of the nontrivial equilibrium and complete convergence, as well as long-term coexistence in a related two-type model. Along the way we classify the equilibria and their domain of attraction for the corresponding deterministic coupled map lattice on $\mathbb{Z}^d$.
- Autoren
- Matthias Birkner
- Andrej Depperschmidt
- Autoren-URL
- http://arxiv.org/abs/0711.0649v1
- Ausgabe der Veröffentlichung
- 5
- Zeitschrift
- Annals of Applied Probability
- Schlüsselwörter
- math.PR
- math.PR
- 60K35 (Primary) 92D40 (Secondary)
- Notes
- Published in at http://dx.doi.org/10.1214/105051607000000221 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
- Paginierung
- 1777 - 1807
- Datum der Veröffentlichung
- 2007
- Herausgeber URL
- http://dx.doi.org/10.1214/105051607000000221
- Datum der Datenerfassung
- 2007
- Datum, an dem der Datensatz öffentlich gemacht wurde
- 2007
- Titel
- Survival and complete convergence for a spatial branching system with local regulation
- Ausgabe der Zeitschrift
- 17
Files
0711.0649v1.pdf
Datenquelle: arXiv
- Beziehungen:
- Eigentum von