We investigate the dynamical behavior of hybrid virus infection systems with nonlytic immune response in switching environment, which is modeled as a stochastic process of telegraph noise and represented as a multi-state Markov chains. Firstly, The existence of unique positive solution and boundedness of the new hybrid system is proved. Furthermore, the sufficient conditions for extinction and persistence of virus are established. Finally, stochastic simulations are performed to test and demonstrate the conclusions. As a consequence, our work suggests that stochastic switching environment plays a crucial role in the process of virus prevention and treatment.

中文翻译：

---

交换环境下混合病毒感染系统的动力学分析

我们研究在交换环境中具有非溶解性免疫反应的混合病毒感染系统的动力学行为，该行为被建模为电报噪声的随机过程，并表示为多状态马尔可夫链。首先，证明了新型混合系统唯一正解的存在性和有界性。此外，为病毒的灭绝和持久性建立了充分的条件。最后，进行随机模拟以测试和证明结论。因此，我们的工作表明，随机切换环境在病毒的预防和治疗过程中起着至关重要的作用。