On positive solutions in a phytoplankton–nutrient model

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摘要

On the basis of an application from aquatic ecology, we discuss the behaviour of the widely used time integration package VODE by Brown et al. (SIAM J. Sci. Statist. Comput. 10 (1989) 1038). When used in a default setting this code smoothly produces a negative steady state solution, which is not realistic in this application.

论文关键词:Primary 65M12,65M20,Phytoplankton dynamics,Integro-advection–diffusion–reaction equations,Time integration,Positivity

论文评审过程:Received 4 October 2004, Revised 18 October 2004, Available online 18 December 2004.

论文官网地址:https://doi.org/10.1016/j.cam.2004.11.020