We formulate a stochastic Wright's mutualism model with regime-switching in this paper. Under some conditions, we testify that the model admits a unique stationary distribution which is ergodic, and the transition probability of the solution of the model exponentially converges to the stationary distribution. Some recent results are extended and improved greatly. An example and several simulations are also provided to illustrate the theoretical findings.

中文翻译：

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随机赖特共生模型的平稳分布和遍历性与政权切换

在本文中，我们制定了一个随机 Wright 的互惠主义模型，其中包含政权切换。在某些条件下，我们证明了该模型存在一个唯一的遍历平稳分布，并且该模型解的转移概率指数地收敛到该平稳分布。最近的一些结果得到了极大的扩展和改进。还提供了一个例子和几个模拟来说明理论发现。