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| 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 |
| 投稿时间：2023-11-04 修订日期：2024-02-27 |
| DOI： |
| 中文关键词: 分数阶 时滞延迟 阶段结构 生态流行病模型 稳定性 |
| 英文关键词: fractional order time-delay stage structure ecological epidemiological model stability |
| 基金项目:国家自然科学基金项目（面上项目，重点项目，重大项目）；重庆市教委科技创新项目 |
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| 中文摘要: |
| 针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。 |
| 英文摘要: |
| In this paper, The stability and Hopf bifurcation of a fractional order time-delay eco-epidemiological model with stage structure is investigated. By calculating the characteristic roots of the characteristic equation and applying 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. |
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