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 |
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| 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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