| 一类具有饱和治愈率和饱和接触率的流行病动力学模型研究 |
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| 引用本文： | 李豪,张艳.一类具有饱和治愈率和饱和接触率的流行病动力学模型研究[J].赣南师范学院学报,2011,32(3):26-28. |
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| 作者姓名： | 李豪 张艳 |
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| 作者单位： | 1. 赣南师范学院 数学与计算机科学学院,江西 赣州,341000
2. 赣南师范学院 数学与计算机科学学院,江西 赣州341000;江西省数值模拟与仿真技术重点实验室,江西 赣州341000 |
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| 基金项目： | 江西省教育厅科技支撑计划项目(2009ZDG03400) |
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| 摘 要： | 主要建立了一类带有饱和治愈率和饱和接触率的SIRS传染病模型,研究得到了该模型的无病平衡点及地方病平衡点的局部稳定性,同时,借助构造Liapunov函数,给出了无病平衡点和地方病平衡点全局渐近稳定的条件.
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| 关 键 词： | 流行病动力学模型 饱和治愈率 饱和接触率 稳定性 |
Analysis of an Epidemic Model with Saturated Treatment Rate and Saturated Contact Rate |
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| LI Hao,ZHANG Yan.Analysis of an Epidemic Model with Saturated Treatment Rate and Saturated Contact Rate[J].Journal of Gannan Teachers' College(Social Science(2)),2011,32(3):26-28. |
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| Authors: | LI Hao ZHANG Yan |
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| Institution: | LI Hao1,ZHANG Yan1,2(1.School of Mathematics and Computer Science,2.Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques,Gannan Normal University,Ganzhou 341000,China) |
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| Abstract: | In this paper,an epidemic model with saturated treatment rate and saturated contact rate is proposed.The local stability of the equilibriums(including disease-free equilibrium and epidemic equilibrium) are obtained.Moreover,by constructing a Lyapunov function,the global stability of epidemic equilibriums of the model are studied. |
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| Keywords: | Epidemiological Dynamics model saturated treatment rate saturated contact rate stability |
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