﻿ 随机多组模型的平稳分布

# 随机多组模型的平稳分布Stationary Distribution Analysis for Stochastic Multi-Group Models

Abstract: This paper mainly uses graph theory to analyze the stationary distribution for stochas- tic multi-group models with dispersal. Two main theorems are obtained to guarantee the existence of a stationary distribution via Lyapunov method and graph theory, in which sufficient conditions derived are less conservative and they reflect that station- ary distribution having a close connection with stochastic disturbance and topological structure. Furthermore, theoretical results are used to analyze tochastic coupled os- cillators. In the end, numerical simulation is given to demonstrate the availability of our results.

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