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Título
An age-structured population model with delayed and space-limited recruitment
Autor
Año del Documento
2022
Editorial
Elsevier
Descripción
Producción Científica
Documento Fuente
Communications in Nonlinear Science and Numerical Simulation, 2022, vol. 112, 106545
Résumé
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.
Palabras Clave
Populations dynamics
Dinámica de poblaciones
Numerical methods
Métodos numéricos
ISSN
1007-5704
Revisión por pares
SI
Patrocinador
Ministerio de Economía, Industria y Competitividad - Fondo Europeo de Desarrollo Regional (grant MTM2017- 85476-C2-1-P)
Agencia Estatal de Investigación (grant PID2020-113554GB-I00/AEI/10.13039/501100011033)
Junta de Castilla y León - Fondo Europeo de Desarrollo Regional (project VA193P20)
Agencia Estatal de Investigación (grant PID2020-113554GB-I00/AEI/10.13039/501100011033)
Junta de Castilla y León - Fondo Europeo de Desarrollo Regional (project VA193P20)
Propietario de los Derechos
© 2022 The Authors
Idioma
eng
Tipo de versión
info:eu-repo/semantics/publishedVersion
Derechos
openAccess
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