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...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerző: Cao Qian
Dokumentumtípus: Folyóirat
Megjelent: 2021
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Differenciálegyenlet
doi:10.14232/ejqtde.2021.1.76

Online Access:http://acta.bibl.u-szeged.hu/73728
Leíró adatok
Tartalmi kivonat: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.
Terjedelem/Fizikai jellemzők:17
ISSN:1417-3875