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| 具有脉冲接种的DS-I-R传染病模型的定性分析 | |
| 引用本文： | 魏巍,刘少平,舒云星. 具有脉冲接种的DS-I-R传染病模型的定性分析[J]. 数学的实践与认识, 2007, 37(9): 86-91 |
| 作者姓名： | 魏巍 刘少平 舒云星 |
| 作者单位： | 1. 华中科技大学数学系,湖北,武汉,430074;洛阳工业高等专科学校,计算机系,河南,洛阳,471003 2. 华中科技大学数学系,湖北,武汉,430074 3. 洛阳工业高等专科学校,计算机系,河南,洛阳,471003 |
| 摘 要： | 研究了具有脉冲接种的多易感群体的DS-I-R传染病模型,分析了该模型无病周期解的存在性,给出了对疾病传播有重要影响的基本再生数,得到了无病周期解全局稳定性的充分条件. |
| 关 键 词： | SIR传染病模型 脉冲接种 基本再生数 |
| 修稿时间： | 2006-01-15 |
Qualitative Analyses of Pulse Vaccination in the DS-I-R Epidemic Model |
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| WEI Wei,LIU Shao-ping,SHU Yun-xing. Qualitative Analyses of Pulse Vaccination in the DS-I-R Epidemic Model[J]. Mathematics in Practice and Theory, 2007, 37(9): 86-91 | |
| Authors: | WEI Wei LIU Shao-ping SHU Yun-xing |
| Abstract: | Pulse Vaccination in the DS-I-R epidemic model with differential susceptibility is studied in this paper.The existence of infection-free periodic solution are proved.The basic reproductive number of this model is defined and used to determine the threshold of the disease extinction.We obtain some sufficient conditions for the global stability of an infection-free periodic solution. |
| Keywords: | SIR epidemic model pulse vaccination global stability |
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