Stochastic delay differential neoclassical growth system

Wang, Wentao; Chen, Wei

doi:10.1080/15326349.2021.1888300

Stochastic Models

2021

DOI: 10.1080/15326349.2021.1888300

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Stochastic delay differential neoclassical growth system

Wentao Wang

Wei Chen

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2024

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Cited by 2 publications

References 24 publications

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Almost periodic dynamics for a delayed differential neoclassical growth model with discontinuous control strategy

Wang,

Zhan

2024

Open Mathematics

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In this study, we are concerned with the existence and exponential stability issue of a delayed differential neoclassical growth model with discontinuous control strategy. By employing the Filippov’s theory and dichotomy theory, together with the Lyapunov functional method, novel criteria on existence and exponential stability are established for the addressed model. The established theoretical results extend and supplement the related results in the existing literature. Moreover, a simulation example is presented to verify the practicability of the proposed results.

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Almost periodic dynamics for a delayed differential neoclassical growth model with discontinuous control strategy

Wang,

Zhan

2024

Open Mathematics

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Asymptotic Behavior of Three Connected Stochastic Delay Neoclassical Growth Systems Using Spectral Technique

Ali

Khan

2022

Mathematics

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In this study, we consider a nonlinear system of three connected delay differential neoclassical growth models along with stochastic effect and additive white noise, which is influenced by stochastic perturbation. We derived the conditions for positive equilibria, stability and positive solutions of the stochastic system. It is observed that when a constant delay reaches a certain threshold for the steady state, the asymptotic stability is lost, and the Hopf bifurcation occurs. In the case of the finite domain, the three connected, delayed systems will not collapse to infinity but will be bounded ultimately. A Legendre spectral collocation method is used for the numerical simulations. Moreover, a comparison of a stochastic delayed system with a deterministic delayed system is also provided. Some numerical test problems are presented to illustrate the effectiveness of the theoretical results. Numerical results further illustrate the obtained stability regions and behavior of stable and unstable solutions of the proposed system.

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Stochastic delay differential neoclassical growth system

Cited by 2 publications

References 24 publications

Almost periodic dynamics for a delayed differential neoclassical growth model with discontinuous control strategy

Almost periodic dynamics for a delayed differential neoclassical growth model with discontinuous control strategy

Asymptotic Behavior of Three Connected Stochastic Delay Neoclassical Growth Systems Using Spectral Technique

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