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

O. Angulo | Zendy; J.C. López-Marcos | Zendy; M.A. López-Marcos | Zendy

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

Author(s) -

O. Angulo,

J.C. López-Marcos,

M.A. López-Marcos

Publication year - 2014

Publication title -

biomath

Language(s) - English

Resource type - Journals

eISSN - 1314-7218

pISSN - 1314-684X

DOI - 10.11145/209

Subject(s) - numerical analysis , convergence (economics) , population , rate of convergence , resource (disambiguation) , dependency (uml) , population size , computer science , mathematical optimization , mathematics , population model , computer simulation , simulation , demography , artificial intelligence , mathematical analysis , economics , computer network , channel (broadcasting) , sociology , economic growth

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.

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