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.
Robust exponential attractors for population dynamics models with infinite time delay / C. Cavaterra, M. Grasselli. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B.. - ISSN 1531-3492. - 6:5(2006), pp. 1051-1076.
Robust exponential attractors for population dynamics models with infinite time delay
C. CavaterraPrimo
;
2006
Abstract
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.Pubblicazioni consigliate
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