@article{fdi:010053395,
  title = {{T}wo-time scales in spatially structured models of population dynamics : a semigroup approach},
  author = {{S}anchez, {E}. and {A}uger, {P}ierre and {P}oggiale, {J}. {C}.},
  editor = {},
  language = {{ENG}},
  abstract = {{T}he aim of this work is to provide a unified approach to the treatment of a class of spatially structured population dynamics models whose evolution processes occur at two different time scales. {I}n the setting of the {C}-0-semigroup theory, we will consider a general formulation of some semilinear evolution problems defined on a {B}anach space in which the two-time scales are represented by a parameter epsilon > 0 small enough, that mathematically gives rise to a singular perturbation problem. {A}pplying the so-called aggregation of variables method, a simplified model called the aggregated model is constructed. {A} nontrivial mathematical task consists of comparing the asymptotic behaviour of solutions to both problems when epsilon -> 0(+), under the assumption that the aggregated model has a compact attractor. {A}pplications of the method to a class of two-time reaction-diffusion models of spatially structured population dynamics and to models with discrete spatial structure are given.},
  keywords = {{A}ggregation of variables ; {T}wo-time scales ; {S}patially structured ; population dynamics ; {R}eaction-diffusion equations},
  booktitle = {},
  journal = {{J}ournal of {M}athematical {A}nalysis and {A}pplications},
  volume = {375},
  numero = {1},
  pages = {149--165},
  ISSN = {0022-247{X}},
  year = {2011},
  DOI = {10.1016/j.jmaa.2010.08.014},
  URL = {https://www.documentation.ird.fr/hor/fdi:010053395},
}