Analysis of an efficient integrator for a size-structured population model with a dynamical resource
In this paper, an efficient numerical method for the approximation of a nonlinear size-structured population model is presented. The nonlinearity of the model is given by dependency on the environment through the consumption of a dynamical resource. We analyse the properties of the numerical scheme...
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Published in | Computers & mathematics with applications (1987) Vol. 68; no. 9; pp. 941 - 961 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
01.11.2014
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Subjects | |
Online Access | Get full text |
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Summary: | In this paper, an efficient numerical method for the approximation of a nonlinear size-structured population model is presented. The nonlinearity of the model is given by dependency on the environment through the consumption of a dynamical resource. We analyse the properties of the numerical scheme and optimal second-order convergence is derived. We report experiments with academical tests to demonstrate numerically the predicted accuracy of the scheme. The model is applied to solve a biological problem: the dynamics of an ectothermic population (the water flea, Daphnia magna). We analyse its long time evolution and describe the asymptotically stable steady states, both equilibria and limit cycles. |
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Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
ISSN: | 0898-1221 |
DOI: | 10.1016/j.camwa.2014.04.009 |