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OA
A Predator-Prey Model with Fear Effect and Lévy Noise in Polluted Environment
本文建立了一类同时具有恐惧效应、环境污染及 Lévy 噪声的随机捕食-食饵模型.证明了模型全局唯一正解的存在性和有界性;同时给出了种群灭绝及存在的充分条件;并研究了模型的分布稳定性,最后通过数值模拟验证理论结果及分析恐惧因素对模型的影响.
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.
陶柱君;韦煜明
广西师范大学数学与统计学院,广西 桂林 541006广西师范大学数学与统计学院,广西 桂林 541006
数理科学
捕食-食饵恐惧效应Lévy跳环境污染Itô公式
predator-preyfear effectLévy jumpspolluted environmentItô formula
《集美大学学报（自然科学版）》 2026 (2)
224-239,16
国家自然科学基金项目(11961074)
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