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

Oscar Angulo, J C Lopez-Marcos, M A Lopez-Marcos

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.

Keywords


structured population models; numerical methods; convergence; Daphnia magna

Full Text:

PDF


DOI: http://dx.doi.org/10.11145/209

Refbacks

  • There are currently no refbacks.


ISSN 1314-7218 (online)
ISSN 1314-684X (print)

Indexed by: Mathematical Reviews (MathSciNet), Zentralblatt MATH, Academic Serach Premier, Academic Search Elite, Academic Search Complete, Academic Search Ultimate