In this paper, we study the persistence and extinction of Markov switched stochastic Nicholson’s blowflies delayed differential equation. We derive sufficient conditions of persistence and extinction for blowflies population, respectively, which solve one of open problems proposed by Zhu et al. [Stochastic Nicholson’s blowflies delay differential equation with regime switching, Appl. Math. Lett. 94 (2019) 187–195].

中文翻译：

---

马尔可夫切换随机尼科尔森风蝇延迟微分方程的持久性和消光

在本文中，我们研究了马尔可夫切换随机Nicholson的风蝇延迟微分方程的持久性和消光性。我们分别推导出了苍蝇种群持续存在和灭绝的充分条件，解决了朱等人提出的开放问题之一。[随机尼科尔森的苍蝇延迟微分方程与政权切换，Appl。数学。莱特。94 (2019) 187–195]。