吉首大学学报（自然科学版）2024，Vol.45Issue(2)：9-17,9.DOI:10.13438/j.cnki.jdzk.2024.02.002
一类具有双时滞的捕食模型的稳定性和Hopf分支
Stability and Hopf Bifurcation of a Predator-Prey Model with Dual Time-Delay
摘要
Abstract
A dual time-delay predator-prey model with B-D functional response and different refuge behav-iors is established,and the stability and Hopf bifurcation of the positive equilibrium of the model with different time-delays are analyzed.The research shows that when the time-delay is equal to the corre-sponding critical value,Hopf bifurcation occurs at the positive equilibrium of the model,and the stability of the positive equilibrium changes.关键词
时滞/捕食模型/稳定性/Hopf分支Key words
time-delay/predator-prey model/stability/Hopf bifurcation分类
数理科学引用本文复制引用
张美杨,谢景力,郭红利..一类具有双时滞的捕食模型的稳定性和Hopf分支[J].吉首大学学报（自然科学版）,2024,45(2):9-17,9.基金项目
湖南省教育厅科学研究重点项目(22A0368) （22A0368）
吉首大学研究生校级科研项目(JDY22011) （JDY22011）
