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.
文章引用: 袁俊叶 , 张一帆 , 郭 英 (2021) 随机多组模型的平稳分布。 应用数学进展， 10， 1-15. doi: 10.12677/AAM.2021.101001
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