2022
DOI: 10.3390/math10193639
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Asymptotic Behavior of Three Connected Stochastic Delay Neoclassical Growth Systems Using Spectral Technique

Abstract: 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… Show more

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Cited by 12 publications
(5 citation statements)
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“…This property significantly minimizes the maximum error between the numerical solution and the true solution. The efficiency of this approach is further increased by the employment of Chebyshev nodes, or the roots of these polynomials, which assist prevent the Runge phenomenon and guarantee stability and dependability in numerical approximations [32][33][34][35][36][37][38][39][40]. Several studies have applied fractional calculus to model biological systems.…”
Section: Introductionmentioning
confidence: 99%
“…This property significantly minimizes the maximum error between the numerical solution and the true solution. The efficiency of this approach is further increased by the employment of Chebyshev nodes, or the roots of these polynomials, which assist prevent the Runge phenomenon and guarantee stability and dependability in numerical approximations [32][33][34][35][36][37][38][39][40]. Several studies have applied fractional calculus to model biological systems.…”
Section: Introductionmentioning
confidence: 99%
“…In addition, public health organizations can use these optimal control models to take better steps and emergency actions to prevent infectious diseases. There are many research articles available in literature that provide basics and fundamentals of optimal control theory to dynamical systems particularly in the field of epidemiology [35][36][37][38][39][40][41][42][43][44][45][46][47][48].…”
Section: Introductionmentioning
confidence: 99%
“…The process is not deterministic, as assumed in most existing studies. In this paper, we propose a stochastic impulse control model [5,6] to characterize the process of wastewater discharge or waste gas emission. This study aims to answer the following research questions:…”
Section: Introduction 1research Questionsmentioning
confidence: 99%