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

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

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Article ID: iaor20141486
Volume: 258
Issue: 12
Start Page Number: 116
End Page Number: 134
Publication Date: Mar 2014
Journal: Journal of Computational and Applied Mathematics
Authors: , , ,
Keywords: competition, hierarchical structure, modelling, population
Abstract:

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.

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