Clues to quality of journals
Open Access Policy of Helmholtz Association 2016
CC Licencences
Publication Metrics
Home
Deutsch
New EVA Application
Advanced Search
Browse by ...
Publication overview
Statistics (last 5 years)
OA Publications
Submit Publication
Import publication from...
Report missing publication
Contact persons
Help
Text
Endnote (RIS)
BibTeX
DOI
PMC
 |
|
Open Access Green as soon as Postprint is submitted to ZB.
How spatial heterogeneity affects transient behavior in reaction-diffusion systems for ecological interactions?
Bull. Math. Biol. 81, 3889-3917 (2019)
Most studies of ecological interactions study asymptotic behavior, such as steady states and limit cycles. The transient behavior, i.e., qualitative aspects of solutions as and before they approach their asymptotic state, may differ significantly from asymptotic behavior. Understanding transient dynamics is crucial to predicting ecosystem responses to perturbations on short timescales. Several quantities have been proposed to measure transient dynamics in systems of ordinary differential equations. Here, we generalize these measures to reaction-diffusion systems in a rigorous way and prove various relations between the non-spatial and spatial effects, as well as an upper bound for transients. This extension of existing theory is crucial for studying how spatially heterogeneous perturbations and the movement of biological species involved affect transient behaviors. We illustrate several such effects with numerical simulations.
Impact Factor
Scopus SNIP
Web of Science
Times Cited
Times Cited
Scopus
Cited By
Cited By
Altmetric
1.643
0.855
3
3
Annotations
Special Publikation
Hide on homepage
Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Reaction-diffusion Systems ; Transient Dynamics ; Spatially Heterogeneous Perturbations; Dynamics; Stability; Persistence; Resilience; Responses
Language
english
Publication Year
2019
HGF-reported in Year
2019
ISSN (print) / ISBN
0092-8240
e-ISSN
1522-9602
Journal
Bulletin of Mathematical Biology
Quellenangaben
Volume: 81,
Issue: 10,
Pages: 3889-3917
Publisher
Springer
Publishing Place
233 Spring St, New York, Ny 10013 Usa
Reviewing status
Peer reviewed
Institute(s)
Institute of Computational Biology (ICB)
POF-Topic(s)
30205 - Bioengineering and Digital Health
Research field(s)
Enabling and Novel Technologies
PSP Element(s)
G-503800-001
WOS ID
WOS:000487900700009
Scopus ID
85071322112
PubMed ID
31444675
Erfassungsdatum
2019-10-01