具Allee效应和食饵避难的随机捕食模型的动力学分析  

Dynamics of Stochastic Predator-Prey Model with Allee Effect and Prey Refuge

作　　者：陈超[1] CHEN Chao(School of Science,Jimei University,Xiamen 361021,China)

机构地区：[1]集美大学理学院,福建厦门361021

出　　处：《集美大学学报（自然科学版）》2024年第5期475-480,共6页Journal of Jimei University：Natural Science

摘　　要：研究一类具Allee效应和食饵避难的随机食饵捕食模型的全局动力学。证明模型存在唯一的全局正解,且给出模型存在唯一遍历的平稳分布的充分条件。最后,通过数值模拟,验证了结论的可行性和有效性。In this paper,the dynamics of a stochastic predator-prey model with Allee effect and prey refuge were investigated.The sufficient criteria for the existence of a unique global positive solution and a unique ergodic stationary distribution were established by constructing suitable Lyapunov functions.Finally,numerical simulations were given to illustrate the feasibility and effectiveness of the conclusion.

关 键 词：食饵捕食模型 随机 ALLEE效应 避难 

分 类 号：O175[理学—数学]