Novel results on attractivity of a neoclassical growth system incorporating multiple pairs of time-varying delays

Abstract

In this paper, we analyze the global dynamics of a neoclassical growth system incorporating patch structure and multiple pairs of time-varying delays. First, we derive the global existence, positiveness and boundedness of solutions for the addressed system. Then, 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 a unique positive equilibrium point vector, which does not possess the same components. Our results supplement and improve some existing results. Ultimately, some numerical examples are afforded to prove the effectiveness and feasibility of the theoretical findings.