| 类具有急慢性阶段和垂直传染的非线性SACS传染病模型 |
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| 引用本文： | 吕万碧,刘贤宁,梁英琼.类具有急慢性阶段和垂直传染的非线性SACS传染病模型[J].西南大学学报,2010,32(5). |
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| 作者姓名： | 吕万碧 刘贤宁 梁英琼 |
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| 作者单位： | 西南大学数学与统计学院,重庆,400715 |
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| 基金项目： | 教育科学技术研究重点项目，教育部留学回国人员科研启动基金 |
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| 摘 要： | 研究一类具有非线性接触率和垂直传染且在急慢性阶段均传染的非线性SACS传染病侍播数学模型动力学性质,确定了各类平衡点存在的条件阈值,讨论了各平衡点的稳定性,并将会在临界值处出现Hopf分支,揭示了急慢性阶段传染对疾病发展趋势的共同影响.Abstract：The dynamics of a nonlinear SACS epidemic model with vertical transmission, which has infective force at both acute and chronic stages, is studied. The conditions and thresholds for the existence of various equilibria are established. The stability of equilibria is discussed, and periodic solutions may appear by Hopf bifurcation. The influence of infectivity at acute and chronic stages on the developing trend of the disease is disclosed.
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| 关 键 词： | 传染病模型 急性和慢性阶段 非线性发生率 稳定性分析 Hopf分支 |
A Nonlinear SACS Epidemic Model with Acute and Chronic Stages and Vertical Transmission |
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| LV Wan-bi,LIU Xian-ning,LIANG Ying-qiong.A Nonlinear SACS Epidemic Model with Acute and Chronic Stages and Vertical Transmission[J].Journal of Southwest Agricultural University,2010,32(5). |
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| Authors: | LV Wan-bi LIU Xian-ning LIANG Ying-qiong |
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