| 具有细胞内时滞的耦合传染病模型 |
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| 引用本文： | 王颖,王灵芝.具有细胞内时滞的耦合传染病模型[J].吉林大学学报(理学版),2022,60(4):784-792. |
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| 作者姓名： | 王颖 王灵芝 |
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| 作者单位： | 陕西师范大学 数学与统计学院, 西安 710119 |
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| 摘 要： | 考虑一类具有Logistic增长的时滞耦合模型. 首先, 利用特征方程和Lyapunov-LaSalle不变性原理, 证明当R0≤1时, 无感染平衡点的全局渐近稳定性; 当R0>1时, 病毒感染平衡点Hopf分岔的存在性. 其次, 得到了Logistic增长与时滞会影响系统稳定性的结果. 最后通过数值模拟验证理论结果的正确性.
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| 关 键 词： | 时滞 稳定性 Lyapunov-LaSalle不变性原理 Hopf分岔 |
| 收稿时间： | 2021-09-26 |
Coupled Infectious Disease Model with Intracellular Time Delay |
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| WANG Ying,WANG Lingzhi.Coupled Infectious Disease Model with Intracellular Time Delay[J].Journal of Jilin University: Sci Ed,2022,60(4):784-792. |
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| Authors: | WANG Ying WANG Lingzhi |
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| Institution: | School of Mathematics and Statistics, Shaanxi Normal University, Xi’an 710119, China |
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| Abstract: | We considered a class of time delay coupled models with logistic growth. Firstly, by using the characteristic equation and Lyapunov-LaSalle invariance principle, we proved the global asymptotic stability of the infection free equilibrium when R0≤1 and the existence of Hopf bifurcation of virus infection equilibrium when R0>1. Secondly, we obtained the results that the logistic growth and time delay affect the stability of the system. Finally, the correctness of the theoretical results was verified by numerical simulations. |
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| Keywords: | time delay stability Lyapunov-LaSalle invariance principle Hopf bifurcation |
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