We consider an integrodifferential reaction-diffusion system on a multidimensional spatial domain, subject to homogeneous Neumann boundary conditions. This system finds applications in population dynamics and it is characterized by nonlocal delay terms depending on both the temporal and the spatial variables. The distributed time delay effects are represented by memory kernels which decay exponentially but they are not necessarily monotonically decreasing. We first show how to construct a (dissipative) dynamical system on a suitable phase-space. Then we discuss the existence of the global attractor as well as of an exponential attractor.
|Titolo:||Asymptotic behavior of population dynamics models with nonlocal distributed delays|
CAVATERRA, CECILIA (Primo)
|Parole Chiave:||Exponential attractors; Global attractors; Invariant regions; Memory kernels; Nonlocal effects; Population dynamics|
|Settore Scientifico Disciplinare:||Settore MAT/05 - Analisi Matematica|
|Data di pubblicazione:||2008|
|Digital Object Identifier (DOI):||10.3934/dcds.2008.22.861|
|Appare nelle tipologie:||01 - Articolo su periodico|