RT info:eu-repo/semantics/article T1 Analysis of an efficient integrator for a size-structured population model with a dynamical resource A1 Angulo Torga, Óscar A1 López Marcos, Juan Carlos A1 López Marcos, Miguel Ángel K1 Análisis numérico K1 Población AB 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. PB Elsevier SN 0898-1221 YR 2014 FD 2014 LK http://uvadoc.uva.es/handle/10324/21455 UL http://uvadoc.uva.es/handle/10324/21455 LA eng NO Computers & Mathematics with Applications, Vol. 68, Issue 9, November 2014, p.941–961 NO Producción Científica DS UVaDOC RD 22-nov-2024