Stochastic delay differential neoclassical growth model

Stochastic Neoclassical Growth Model

Global exponential stability for a delay differential neoclassical growth model

*Correspondence: [email protected] 2College of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing, Zhejiang 314001, People’s Republic of China Full list of author information is available at the end of the article Abstract This paper aims to analyze the stability of the positive equilibrium of a delay differential neoclassical growth model. We prove the existence, ...

Asymptotic Behavior of a Delay Differential Neoclassical Growth Model

A neoclassical growth model is examined with a special mound-shaped production function. Continuous time scales are assumed and a complete steady state and stability analysis is presented. Fixed delay is then assumed and it is shown how the asymptotic stability of the steady state is lost if the delay reaches a certain threshold, where Hopf bifurcation occurs. In the case of continuously distri...

Neoclassical Growth Model

4 Quantitative Analysis 7 4.1 Steady state . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 4.2 Optimal saving rate at steady state . . . . . . . . . . . . . . . . . . . . . . . . . . 8 4.3 Balanced growth path . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 4.4 Calibration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....

Computational Method for Fractional-Order Stochastic Delay Differential Equations

Dynamic systems in many branches of science and industry are often perturbed by various types of environmental noise. Analysis of this class of models are very popular among researchers. In this paper, we present a method for approximating solution of fractional-order stochastic delay differential equations driven by Brownian motion. The fractional derivatives are considered in the Caputo sense...