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
豆中丽1
作者信息
- 1. 重庆财经学院 软件学院,重庆 401320
- 折叠
摘要
对具有阶段结构的分数阶时滞生态流行病模型的稳定性进行研究,探讨捕食者在妊娠期间时滞对模型稳定性的影响.计算特征方程的特征根,运用Routh-Hurwitz判定定理证明捕食者灭绝平衡点、无病平衡点和地方病平衡点的局部渐近稳定;运用分岔理论探讨在地方病平衡点附近存在Hopf分支的充分条件;最后运用数值模拟验证理论推导的正确性.
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引用本文复制引用
出版年
2024
国家科技期刊平台
NSTL
万方数据