Numerical Analysis of a Size-Structured Population Model with a Dynamical Resource

Authors

  • Oscar Angulo Universidad de Valladolid
  • J C Lopez-Marcos
  • M A Lopez-Marcos

DOI:

https://doi.org/10.11145/j.biomath.2014.03.241

Keywords:

structured population models, numerical methods, convergence, Daphnia magna

Abstract

In this paper, we analyze the convergence of a second order numerical method for the approximation of a size-structured population model whose dependency on the environment is managed by the evolution of a vital resource. Optimal rate of convergence is derived. Numerical experiments are also reported to demonstrate the predicted accuracy of the scheme. Also, it is applied for the solution of a problem that describes the dynamics of a Daphnia magna population, paying attention to the unstable case.

Author Biographies

Oscar Angulo, Universidad de Valladolid

Dpto. MatemГЎtica Aplicada

Associate professor

J C Lopez-Marcos

M A Lopez-Marcos

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Published

2014-06-02

Issue

Section

Original Articles