集美大学学报（自然科学版）2026，Vol.31Issue(2)：224-239,16.DOI:10.19715/j.jmuzr.2026.02.10
污染环境下具有恐惧效应与Lévy噪声影响的捕食者-食饵模型
A Predator-Prey Model with Fear Effect and Lévy Noise in Polluted Environment
摘要
Abstract
In this paper,a stochastic predator-prey model with fear effect,polluted environment and Lévy noise is established.The existence and the boundedness of the globally unique positive solution are proved.The sufficient conditions of species extinction and existence are given.Stability in distribution of the model is stud-ied.Finally,the theoretical results are verified by numerical simulation and the influence of fear factors on the model is analyzed.关键词
捕食-食饵/恐惧效应/Lévy跳/环境污染/Itô公式Key words
predator-prey/fear effect/Lévy jumps/polluted environment/Itô formula分类
数理科学引用本文复制引用
陶柱君,韦煜明..污染环境下具有恐惧效应与Lévy噪声影响的捕食者-食饵模型[J].集美大学学报（自然科学版）,2026,31(2):224-239,16.基金项目
国家自然科学基金项目(11961074) （11961074）
