| 张露露,廖茂新,邓兴颖.一类具有时滞的传染病模型Hopf分支及稳定性分析[J].南华大学学报(自然科学版),2021,(1):71~76.[ZHANG Lulu,LIAO Maoxin,DENG Xingying.Hopf Bifurcation and Stability Analysis of Epidemic Model with Time Delay[J].Journal of University of South China(Science and Technology),2021,(1):71~76.] |
| 一类具有时滞的传染病模型Hopf分支及稳定性分析 |
| Hopf Bifurcation and Stability Analysis of Epidemic Model with Time Delay |
| 投稿时间：2020-08-24 |
| DOI：10. 19431/ j. cnki. 1673-0062. 2021. 01. 012 |
| 中文关键词: Hopf分支 时滞 平衡点 稳定性 |
| 英文关键词:Hopf bifurcation delay the balance point stability |
| 基金项目:湖南省自然科学基金项目(2020JJ4516);湖南省教育厅重点项目(17A181) |
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| 中文摘要: |
| 研究了一类具有非线性传染率的传染病模型,确定了模型的基本再生数R0,分析了模型无病平衡点和地方病平衡点的稳定性,以时滞为参数,得到了在地方病平衡点处Hopf分支存在的条件、最后数值模拟以验证结果。 |
| 英文摘要: |
| It studied an epidemic model with nonlinear infection rate was, determined the basic reproductive number of regenerations for the model, and analyzed the stability of the model disease-free balance point and the local disease balance point. The conditions for Hopf bifurcation at the local disease balance point are obtained on the parameter of time delay, numerical simulation to verify the results. |
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