Numerical analysis of an open marine population model with spaced-limited recruitment

Authors:
O. Angulo;J. C. LóPez-Marcos;M. A. LóPez-Marcos;J. MartíNez-RodríGuez
Affiliations:
Departamento de Matemática Aplicada, Escuela Universitaria Politécnica, Universidad de Valladolid, C/ Francisco Mendizábal 1, 47014 Valladolid, Spain;Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Valladolid, Paseo del Prado de la Magdalena s/n, 47005 Valladolid, Spain;Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Valladolid, Paseo del Prado de la Magdalena s/n, 47005 Valladolid, Spain;Departamento de Economía Aplicada, Facultad de Ciencias Económicas y Empresariales, Universidad de Valladolid, Avenida del Valle de Esgueva 6, 47011 Valladolid, Spain
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2010

Citing 2
Cited 1

On the approximation of the Lotka-McKendrick equation with finite life-span

Journal of Computational and Applied Mathematics
A Collocation Method for the Gurtin--MacCamy Equation with Finite Life-Span

SIAM Journal on Numerical Analysis

Numerical approximation of singular asymptotic states for a size-structured population model with a dynamical resource

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.98

Visualization

Abstract

A numerical method for an open marine population model with spaced-limited recruitment is presented. The method takes into account the singularity of the mortality rate at the finite maximum age, and it is based on the representation of the solution along the characteristics lines. We analyze the numerical scheme and use it to approximate the asymptotic behavior of the solutions of the model.