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
1. Verfasser: Cao, Qian
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.
ISSN:1417-3875
1417-3875
DOI:10.14232/ejqtde.2021.1.76