Two-time scales in spatially structured models of population dynamics: a semigroup approach

DOI10.1016/j.jmaa.2010.08.014zbMath1211.35025OpenAlexW2011849955MaRDI QIDQ616697

Eva Sanchez, Jean-Christophe Poggiale, Pierre Auger

Publication date: 12 January 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.08.014

zbMATH Keywords

reaction-diffusion equationsaggregation of variablesspatially structured population dynamicstwo-time scales

Mathematics Subject Classification ID

Attractors (35B41) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25)

Related Items (6)

Extensions of the chemostat model with flocculation ⋮ Global behavior ofNcompeting species with strong diffusion: diffusion leads to exclusion ⋮ An age-structured fishery model: dynamics and optimal management with perfect elastic demand ⋮ Mathematical analysis of a population model with an age-weight structured two-stage life history: asymptotic behavior of solutions ⋮ Application of aggregation of variables methods to a class of two-time reaction-diffusion-chemotaxis models of spatially structured populations with constant diffusion ⋮ A posteriori error estimates for a finite volume scheme applied to a nonlinear reaction-diffusion equation in population dynamics

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