海南师范大学学报（自然科学版）2024，Vol.37Issue(4)：408-415,8.DOI:10.12051/j.issn.1674-4942.2024.04.002
阶段结构的分数阶时滞生态流行病模型的稳定性分析
Stability Analysis of Fractional Order Time-delay Ecological Epidemiological Model with Stage Structure
摘要
Abstract
In this paper,the stability and the conditions for the generation of Hopf bifurcation of a fractional order time-de-lay eco-epidemiological model with stage structure are studied,and the impact of time delay on the stability of the model when the predator is pregnant is discussed.By calculating the characteristic roots of the characteristic equation and apply-ing Routh-Hurwitz criterion,the local asymptotically stability of the predator extinction equilibrium point,the disease-free equilibrium point and endemic equilibrium point is proved,The sufficient conditions of Hopf bifurcational near the endemic equilibrium point is discussed by using bifurcation theory.Finally,the accuracy of the theoretical derivation is verified by numerical simulation results.关键词
分数阶/时滞延迟/阶段结构/生态流行病模型/稳定性Key words
fractional order/time-delay/stage structure/ecological epidemiological model/stability分类
数理科学引用本文复制引用
豆中丽..阶段结构的分数阶时滞生态流行病模型的稳定性分析[J].海南师范大学学报（自然科学版）,2024,37(4):408-415,8.基金项目
国家自然科学基金项目(11304403) （11304403）
重庆市教委科技创新项目(KJQN201902105) （KJQN201902105）
