Open AccessAttractivity 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 on the 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) , mathematical optimization , mathematical analysis , ecology , physics , poaceae , engineering , optics , biology , aerospace engineering
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.