Publication:
A stationary population model with an interior interface-type boundary

Thumbnail Image
Identifiers
URI: https://hdl.handle.net/10016/39175
ISSN: 1468-1218
ISSN: 1878-5719 (online)
DOI: https://doi.org/10.1016/j.nonrwa.2023.103918
UXXI: AR/0000033856
Files
stationary_NARWA_2023.pdf (507.01 KB)
Publication date
2023-10-01
Defense date
Authors
Advisors
Tutors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Impact
Google Scholar
Export
Research Projects
Organizational Units
Journal Issue
Abstract
We propose a stationary system that might be regarded as a migration model of some population abandoning their original place of abode and becoming part of another population, once they reach the interface boundary. To do so, we show a model where each population follows a logistic equation in their own environment while assuming spatial heterogeneities. Moreover, both populations are coupled through the common boundary, which acts as a permeable membrane on which their flow moves in and out. The main goal we face in this work will be to describe the precise interplay between the stationary solutions with respect to the parameters involved in the problem, in particular the growth rate of the populations and the coupling parameter involved on the boundary where the interchange of flux is taking place.
Description
Keywords
Coupled Systems, Interchange Of Flux, Interfaces, Migration Models, Spatial Heterogeneities
Bibliographic citation
Álvarez-Caudevilla, Pablo, Brändle, Cristina. "A stationary population model with an interior interface-type boundary". Nonlinear Analysis: Real World Applications 73 (2023) 103918 (26p). https://doi.org/10.1016/j.nonrwa.2023.103918
Collections
DM - Artículos de Revistas