A Markov-switching predator-prey model with Allee effect for preys

• 作者: Xiaoxia Guo Zhiming Guo
• 来源期刊: 生物数学学报:英文版
• 学科: 数学
• 关键词: MARKOV-SWITCHING prey-predator model Allee effect EXTINCTION persistence in mean stable in distribution
• 年，卷（期）: 2020,（3）
• 页码范围: 79-106
• 页数: 28页
• 分类号: O17

摘要

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 con-sideration is derived under some assumptions.Finally,numerical simulations are carried out to illustrate theoretical results.