In this paper, we investigate the stochastic avian influenza model with human-to-human transmission, which is disturbed by both white and telegraph noises. First, we show that the solution of the stochastic system is positive and global. Furthermore, by using stochastic Lyapunov functions, we establish sufficient conditions for the existence of a unique ergodic stationary distribution. Then we obtain the conditions for extinction. Finally, numerical simulations are employed to demonstrate the analytical results.

中文翻译：

---

在政权转换和人与人之间传播的情况下对随机禽流感模型进行建模

在本文中，我们研究了人传人的随机禽流感模型，该模型受到白噪声和电报噪声的干扰。首先，我们证明了随机系统的解是正的和全局的。此外，通过使用随机 Lyapunov 函数，我们建立了存在唯一遍历平稳分布的充分条件。然后我们得到灭绝的条件。最后，采用数值模拟来证明分析结果。