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| 带有免疫和传染年龄的传染病模型 | |
| 引用本文： | 柳合龙,于景元,朱广田.带有免疫和传染年龄的传染病模型[J].数学的实践与认识,2006,36(5):160-164. |
| 作者姓名： | 柳合龙 于景元 朱广田 |
| 作者单位： | 1. 北京信息控制研究所,北京,100037;信阳师范学院数学系,河南,信阳,464000 2. 北京信息控制研究所,北京,100037 3. 中科院数学与系统科学研究院,北京,100080 |
| 摘 要： | 建立了带有免疫和传染年龄的传染病模型,这种传染病带有病原体Ⅰ或Ⅱ,病原体Ⅰ可发展为病原体Ⅱ,得到了无病平衡态全局稳定和局部稳定的条件.当病原体Ⅰ不发展为病原体Ⅱ时,得到了病原体Ⅰ类平衡态的稳定性依赖于病原体Ⅱ类的基本再生指数. |
| 关 键 词： | 病原体 传染年龄 平衡态 共存 稳定 |
| 修稿时间： | 2005年9月9日 |
An Epidemic Model with Vaccination and Infection-Age |
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| LIU He-long,YU Jing-yuan,ZHU Guang-tian.An Epidemic Model with Vaccination and Infection-Age[J].Mathematics in Practice and Theory,2006,36(5):160-164. | |
| Authors: | LIU He-long YU Jing-yuan ZHU Guang-tian |
| Abstract: | In this paper,we formulate a two-strainepidemic model with vaccination,the strain Ⅰ can develop the strain Ⅱ.The model includes an age which is the infection-age of the strain Ⅰ.If the strain Ⅰ does not develop the strain Ⅱ,we find out that the reproduction number of the strain Ⅰ is smaller than the reproduction number of the strain Ⅱ then the strain Ⅰ exclusion equilibrium is unstable. |
| Keywords: | strain infection-age equilibria coexistence stability |
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