We consider an integrodifferential react ion-diffusion system which finds application in population dynamics. The memory kernels accounting for delay effects can be of both weak and strong type. Rescaling the kernels with a time relaxation epsilon &rt; 0, we show that the original model gives raise to a one-parameter family of dynamical systems in a suitable phase-space. We prove that this family is characterized by a corresponding family of exponential attractors which is stable as the delay effects vanish, i.e., when epsilon goes to 0.
|Titolo:||Robust exponential attractors for population dynamics models with infinite time delay|
|Autori interni:||CAVATERRA, CECILIA (Primo)|
|Parole Chiave:||Exponential attractors; Invariant regions; Memory kernels; Population dynamics|
|Settore Scientifico Disciplinare:||Settore MAT/05 - Analisi Matematica|
|Data di pubblicazione:||2006|
|Digital Object Identifier (DOI):||10.3934/dcdsb.2006.6.1051|
|Appare nelle tipologie:||01 - Articolo su periodico|