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oai:uvadoc.uva.es:10324/214552025-03-26T16:41:31Zcom_10324_1176com_10324_931com_10324_894col_10324_1359

Analysis of an efficient integrator for a size-structured population model with a dynamical resource Angulo Torga, Óscar López Marcos, Juan Carlos López Marcos, Miguel Ángel Análisis numérico Población Producción Científica 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. 2016-12-07T08:37:17Z 2016-12-07T08:37:17Z 2014 info:eu-repo/semantics/article Computers & Mathematics with Applications, Vol. 68, Issue 9, November 2014, p.941–961 0898-1221 http://uvadoc.uva.es/handle/10324/21455 10.1016/j.camwa.2014.04.009 941 9 961 Computers and Mathematics with Applications 68 eng www.elsevier.com/locate/camwa info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ Attribution-NonCommercial-NoDerivatives 4.0 International Elsevier SI