Attractivity analysis on a neoclassical growth system incorporating patch structure and multiple pairs of time-varying delays | Zendy

Qian Cao | Zendy

Open Access

Attractivity analysis on a neoclassical growth system incorporating patch structure and multiple pairs of time-varying delays

Author(s) -

Qian Cao

Publication year - 2021

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2021.1.76

Subject(s) - lemma (botany) , mathematics , inequality , focus (optics) , differential (mechanical device) , control theory (sociology) , mathematical optimization , mathematical analysis , computer science , ecology , physics , poaceae , engineering , optics , biology , aerospace engineering , control (management) , artificial intelligence

In this paper, we focus on the global dynamics of a neoclassicalgrowth system incorporating patch structure and multiple pairs oftime-varying delays. Firstly, we prove the global existence, positivenessand boundedness of solutions for the addressed system. Secondly, byemploying some novel differential inequality analyses and the fluctuationlemma, both delay-independent and delay-dependent criteria are establishedto ensure that all solutions are convergent to the unique positiveequilibrium point, which supplement and improve some existing results.Finally, some numerical examples are afforded to illustrate theeffectiveness and feasibility of the theoretical findings.

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