This paper concerns with a Markov-switching predator–prey model with Allee effect for preys. The conditions under which extinction of predator and prey populations occur have been established. Sufficient conditions are also given for persistence and global attractivity in mean. In addition, stability in the distribution of the system under consideration is derived under some assumptions. Finally, numerical simulations are carried out to illustrate theoretical results.

中文翻译：

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具有 Allee 效应的猎物马尔可夫切换捕食者 - 猎物模型

本文关注具有 Allee 效应的猎物马尔可夫转换捕食者 - 猎物模型。已经建立了捕食者和猎物种群灭绝的条件。还为均值的持久性和全局吸引力给出了充分的条件。此外，所考虑的系统分布的稳定性是在一些假设下得出的。最后，通过数值模拟来说明理论结果。