南华大学学报（自然科学版）2026，Vol.40Issue(2)：81-85,5.DOI:10.19431/j.cnki.1673-0062.2026.02.010
一类分数阶捕食-食饵模型的动力学分析
Dynamical analysis of a class of fractional-order prey-predator models
摘要
Abstract
This paper investigates the stability and Hopf bifurcation of a class of delayed fractional-order Leslie-Gower prey-predator models.By introducing the Caputo derivative and employing linearization methods along with stability theory,it analyzes the local as-ymptotic stability of the positive equilibrium point and the conditions for the occurrence of Hopf bifurcation.Numerical simulations verify the correctness of the theoretical results.关键词
时滞/分数阶/捕食-食饵模型/全局稳定性/Hopf分支Key words
time delay/fractional order/prey-predator model/global stability/Hopf bifurca-tion分类
数理科学引用本文复制引用
周璐,吕欣欣,王震巍,廖茂新..一类分数阶捕食-食饵模型的动力学分析[J].南华大学学报（自然科学版）,2026,40(2):81-85,5.基金项目
湖南省自然科学基金项目(2020JJ4516) （2020JJ4516）
