| 一类具有时滞的病毒感染动力学模型的稳定性和Hopf分支 |
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| 引用本文： | 田晓红,徐瑞,马成军. 一类具有时滞的病毒感染动力学模型的稳定性和Hopf分支[J]. 军械工程学院学报, 2010, 0(5): 72-75 |
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| 作者姓名： | 田晓红 徐瑞 马成军 |
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| 作者单位： | [1]军械工程学院基础部,河北石家庄050003 [2]军械工程学院光学与电子工程系,河北石家庄050003 |
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| 基金项目： | 国家自然科学基金项目（11071254） |
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| 摘 要： | 研究一类具有时滞的病毒感染动力学模型。通过分析特征方程，讨论了系统各个平衡点的局部稳定性，得出了系统Hopf分支存在的充分条件。通过比较定理证明了未感染平衡点的全局稳定性。最后对所得理论结果进行了数值模拟。
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| 关 键 词： | 时滞 饱和发生率 稳定性 Hopf分支 |
Stability and Hopf Bifurcation of a Virus Infection Model with Time Delay |
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| TIAN Xiao-hong,XU Rui,MA Cheng-jun. Stability and Hopf Bifurcation of a Virus Infection Model with Time Delay[J]. Journal of Ordnance Engineering College, 2010, 0(5): 72-75 |
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| Authors: | TIAN Xiao-hong XU Rui MA Cheng-jun |
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| Affiliation: | 1. Department of Basic Courses 2. Department of Optics and Electronics Engineering, Ordnance Engineering College,Shijiazhuang 050003,China) |
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| Abstract: | In this paper,a virus infection model with time delay is studied. By analyzing the corre- sponding characteristic equation, the local stability of each of feasible equilibria of the model is investigated. The existence of Hopf bifurcations is established. By using comparison arguments, the global stability of the infection-free equilibrium is proved. Numerical simulations are carried out to illustrate the theoretical results. |
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| Keywords: | time delay saturation incidence stability Hopf bifurcation |
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