| 一类具有时滞和阶段结构的SI传染病模型的稳定性分析 |
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| 引用本文： | 田晓红,徐瑞,马成军.一类具有时滞和阶段结构的SI传染病模型的稳定性分析[J].军械工程学院学报,2009,21(4):69-73. |
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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（10671209） |
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| 摘 要： | 研究一类具有时滞和阶段结构的SI传染病模型。讨论了系统平衡点的存在性和局部稳定性，并讨论了无病平衡点和地方病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 阶段结构 标准发生率 稳定性 |
Stability Analysis of an SI Epidemic Model with Time Delay and Stage-Structure |
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| TIAN Xiao-hong,XU Rui,MA Cheng-jun.Stability Analysis of an SI Epidemic Model with Time Delay and Stage-Structure[J].Journal of Ordnance Engineering College,2009,21(4):69-73. |
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| Authors: | TIAN Xiao-hong XU Rui MA Cheng-jun |
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| Institution: | 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, an SI epidemic model with time delay and stage structure is studied. The local stability of each of feasible equilibria of the model is established. The global stability of the disease free equilibrium and the endemic equilibrium of the model are discussed. Numerical simulations are carried out to illustrate the theoretical results. |
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| Keywords: | time delay stage-structure standard incidence stability |
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