Numerical integration of a hierarchically size-structured population model with contest competition

We formulate schemes for the numerical solution to a hierarchically size-structured population model. The schemes are analysed and optimal rates of convergence are derived. Some numerical experiments are also reported to demonstrate the predicted accuracy of the schemes and to show their behaviour t...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2014-03, Vol.258, p.116-134
Main Authors: Abia, L.M., Angulo, O., López-Marcos, J.C., López-Marcos, M.A.
Format: Article
Language:English
Subjects:
Convergence
Hierarchically size-structured population models
Numerical integration
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Summary:We formulate schemes for the numerical solution to a hierarchically size-structured population model. The schemes are analysed and optimal rates of convergence are derived. Some numerical experiments are also reported to demonstrate the predicted accuracy of the schemes and to show their behaviour to approaching stable steady states.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2013.09.005