A note on dissipativity and permanence of delay difference equations
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 i...
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| Dokumentumtípus: | Folyóirat |
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2018
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet - késleltetett |
| doi: | 10.14232/ejqtde.2018.1.51 |
| Online Access: | http://acta.bibl.u-szeged.hu/58134 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 1-12 |
| ISSN: | 1417-3875 |