A note on dissipativity and permanence of delay difference equations

Garab, Ábel: A note on dissipativity and permanence of delay difference equations. (2018)

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Abstract

We give sufficient conditions on the uniform boundedness and permanence of non-autonomous multiple delay difference equations of the form xk+1 = xk fk (xk−d , . . . , xk−1 , xk where fk : D ⊆ (0, ∞) d+1 → (0, ∞). Moreover, we construct a positively invariant absorbing set of the phase space, which implies also the existence of the global (pullback) attractor if the right-hand side is continuous. The results are applicable for a wide range of single species discrete time population dynamical models, such as (non-autonomous) models by Ricker, Pielou or Clark.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2018
Number: 51
ISSN: 1417-3875
Page Range: pp. 1-12
DOI: https://doi.org/10.14232/ejqtde.2018.1.51
Uncontrolled Keywords: Differenciálegyenlet - késleltetett
Additional Information: Bibliogr.: p. 11-12. ; összefoglalás angol nyelven
Date Deposited: 2019. Jun. 03. 05:54
Last Modified: 2020. Jul. 29. 12:29
URI: http://acta.bibl.u-szeged.hu/id/eprint/58134

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