RT Journal Article
T1 A stationary population model with an interior interface-type boundary
A1 Álvarez Caudevilla, Pablo
A1 Brandle Cerqueira, Cristina
AB 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.
PB Elsevier
SN 1468-1218
SN 1878-5719 (online)
YR 2023
FD 2023-10-01
LK https://hdl.handle.net/10016/39175
UL https://hdl.handle.net/10016/39175
LA eng
NO This paper has been partially supported by Ministry of Economy and Competitiveness of Spain under research project PID2019-106122GB-I00.
DS e-Archivo
RD 17 jul. 2024