RT info:eu-repo/semantics/article
T1 An age-structured population model with delayed and space-limited recruitment
A1 Angulo Torga, Óscar
A1 López Marcos, Juan Carlos
A1 López Marcos, Miguel Ángel
A1 Martínez Rodríguez, Julia
K1 Populations dynamics
K1 Dinámica de poblaciones
K1 Numerical methods
K1 Métodos numéricos
AB A new age-structured model for a closed population with space-limited recruitment is proposed. The problem incorporates a time delay in the settlement process representing, for a marine population of invertebrates, the pelagic larval phase previous to the sessile stage. The model possesses a nontrivial steady state which is investigated. For a deeper analysis of the stability of this equilibrium, depending on the delay, an appropriate numerical method is proposed. The nontrivial equilibrium of the numerical scheme, based on the representation of the solution along the characteristics lines, is also analyzed. For a test model associated with the dynamics of a population of barnacles, numerical experiments describing the asymptotic behavior of the solutions varying the delay are provided. In this case, the delay behaves as a destabilizing parameter of the dynamics of the model.
PB Elsevier
SN 1007-5704
YR 2022
FD 2022
LK https://uvadoc.uva.es/handle/10324/53070
UL https://uvadoc.uva.es/handle/10324/53070
LA eng
NO Communications in Nonlinear Science and Numerical Simulation, 2022, vol. 112, 106545
NO Producción Científica
DS UVaDOC
RD 18-may-2024