摘要
研究具有恐惧效应的随机捕食-食饵模型。证明对于任意给定的初始值,系统都存在唯一的全局正解;应用随机微分方程的比较定理,得到系统的平均持续生存与灭绝的充分条件;证明系统存在唯一的平稳分布且具有遍历性。最后,通过数值模拟来验证主要结果。
In this paper,the dynamics of a stochastic predator-prey model with fear factor were investigated.First of all,it was proved that there was a unique positive global solution starting from any given initial value.Then,sufficient conditions for extinction and persistence in mean were obtained by comparison theorem for stochastic differential equations.In addition,it was proved that there were unique stationary distribution and they are ergodic.Finally,some numerical simulations were introduced to verify the main results.
作者
李江
魏春金
LI Jiang;WEI Chunjin(School of Science,Jimei University,Xiamen 361021,China)
出处
《集美大学学报（自然科学版）》
CAS
2023年第5期397-406,共10页
Journal of Jimei University：Natural Science
基金
国家自然科学基金项目(11971405,22072057)
福建省自然科学基金项目(2018J01418)。
关键词
捕食-食饵模型
恐惧效应
全局正解的存在唯一性
平稳分布
持久
灭绝
predator-prey model
fear factor
existence and uniqueness of global positive solution
stationary distribution
persistence
extinction
