Attractivity analysis on a neoclassical growth system incorporating patch structure and multiple pairs of time-varying delays
In this paper, we focus on the global dynamics of a neoclassical growth system incorporating patch structure and multiple pairs of time-varying delays. Firstly, we prove the global existence, positiveness and boundedness of solutions for the addressed system. Secondly, by employing some novel differ...
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Veröffentlicht in: | Electronic journal of qualitative theory of differential equations 2021-01, Vol.2021 (76), p.1-17 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | In this paper, we focus on the global dynamics of a neoclassical
growth system incorporating patch structure and multiple pairs of
time-varying delays. Firstly, we prove the global existence, positiveness
and boundedness of solutions for the addressed system. Secondly, by
employing some novel differential inequality analyses and the fluctuation
lemma, both delay-independent and delay-dependent criteria are established
to ensure that all solutions are convergent to the unique positive
equilibrium point, which supplement and improve some existing results.
Finally, some numerical examples are afforded to illustrate the
effectiveness and feasibility of the theoretical findings. |
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ISSN: | 1417-3875 1417-3875 |
DOI: | 10.14232/ejqtde.2021.1.76 |