Global exponential stability for a delay differential neoclassical growth model

Advances in Difference Equations

Wei Chen²  Wentao Wang³ 

[1] College of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing, People’School of Mathematics and Information, Shanghai Lixin University of Commerce, Shanghai, People’s Republic of China

关键词: neoclassical growth model;    productivity function;    delay;    global exponential stability;   

DOI  :  10.1186/1687-1847-2014-325

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper aims to analyze the stability of the positive equilibrium of a delay differential neoclassical growth model. We prove the existence, positivity and permanence of solutions which help to deduce the global exponential stability of the unique positive equilibrium for this model. Our method relies upon the differential inequality technique and the Lyapunov functional. Moreover, we give an example with numerical simulations to demonstrate theoretical results.

【 授权许可】

CC BY