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

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 perturbation. We derived the conditions for positive equilibria, stability solutions system. It observed that when constant reaches certain threshold steady state, asymptotic lost, Hopf bifurcation occurs. case finite domain, connected, delayed systems will not collapse to infinity but be bounded ultimately. A Legendre spectral collocation method used numerical simulations. Moreover, comparison deterministic also provided. Some test problems are presented illustrate effectiveness theoretical results. Numerical results further obtained regions behavior stable unstable proposed