| 具有双时滞SIRS传染病模型的稳定性与Hopf分支 |
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| 引用本文： | 刘柏林,许友军,王建伟.具有双时滞SIRS传染病模型的稳定性与Hopf分支[J].南华大学学报(自然科学版),2021(5):74-79. |
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| 作者姓名： | 刘柏林 许友军 王建伟 |
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| 作者单位： | 南华大学 数理学院,湖南 衡阳 421001 |
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| 摘 要： | 对Logistic输入率、非线性发生率的SIRS传染病传播模型进行了研究,考虑了疾病的潜伏期和免疫期两个时滞因素。利用时滞微分方程的稳定性和分支理论,重点研究正平衡点的局部稳定性和Hopf分支。最后通过MATLAB数值模拟验证所得的结论。
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| 关 键 词： | 时滞 平衡点 稳定性 Hopf分支 |
| 收稿时间： | 2020/7/23 0:00:00 |
Stability and Hopf Bifurcation of SIRS Infectious Disease Model with Double Delay |
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| LIU Bailin,XU Youjun,WANG Jianwei.Stability and Hopf Bifurcation of SIRS Infectious Disease Model with Double Delay[J].Journal of Nanhua University:Science and Technology,2021(5):74-79. |
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| Authors: | LIU Bailin XU Youjun WANG Jianwei |
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| Institution: | School of Mathematics and Physics, University of South China, Hengyang, Hunan 421001, China |
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| Abstract: | The transmission model of SIRS infectious disease with Logistic input rate and nonlinear incidence rate was studied. The latent period and immune period of the disease were considered. By using the stability and bifurcation theory of delay differential equations, the local stability and Hopf bifurcation of positive equilibrium point are studied. Finally, the results are verified by MATLAB numerical simulation. |
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| Keywords: | time delay the balance point stability Hopf bifurcation |
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