Numerical Analysis of a Size-Structured Population Model with a Dynamical Resource
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 reporte...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Biomath Forum
2014-06-01
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| Series: | Biomath |
| Subjects: | |
| Online Access: | http://www.biomathforum.org/biomath/index.php/biomath/article/view/209 |
| Summary: | 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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| ISSN: | 1314-684X 1314-7218 |