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

作　　者：Weiping Fan Qian Cao 

机构地区：[1]Swan College Central South University of Forestry and Technology Changsha 410210,Hunan,P.R.China [2]College of Mathematics and Physics Hunan University of Arts and Science Changde 415000,Hunan,P.R.China

出　　处：《International Journal of Biomathematics》2023年第3期119-145,共27页生物数学学报（英文版）

摘　　要：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.

关 键 词：Global attractivity neoclassical growth system patch structure multiple pairs of time-varying delay 

分 类 号：O17[理学—数学]