@article{fdi:010071080,
  title = {{A}pproximate aggregation of linear discrete models with two time scales : re-scaling slow processes to the fast scale},
  author = {{N}guyen-{H}uu,{T}ri and {B}ravo de la {P}arra, {R}. and {A}uger, {P}ierre},
  editor = {},
  language = {{ENG}},
  abstract = {{M}athematical models used in ecology often inherit the complexity found in nature and thus are governed by a large number of variables. {A}ggregation of variables methods is used to make such models mathematically tractable by building an approximate system governing fewer variables. {W}e extend here aggregation methods for linear discrete models with processes occurring at different time scales. {I}n practical cases, some processes that occur at a fast time scale are often only measured at a slow time scale, like mortality. {W}e present a general class of models with two time scales involving such kind of processes. {W}e show how they should be re-scaled in order to be taken into account at the fast time scale in a more realistic approach. {T}he approximate aggregation of these models is undertaken and justified in mathematical terms. {W}e also provide an application to a model of a structured population in a two-patch environment.},
  keywords = {aggregation of variables ; time scales ; population dynamics ; linear discrete models},
  booktitle = {},
  journal = {{J}ournal of {D}ifference {E}quations and {A}pplications},
  volume = {17},
  numero = {4},
  pages = {621--635},
  ISSN = {1023-6198},
  year = {2011},
  DOI = {10.1080/10236190903382665},
  URL = {https://www.documentation.ird.fr/hor/fdi:010071080},
}