| 一类疫苗预防接种具有效期性的SIRS模型稳定性分析 |
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| 引用本文： | 朱焕,李冬梅,宋迎春. 一类疫苗预防接种具有效期性的SIRS模型稳定性分析[J]. 生物数学学报, 2013, 0(4): 629-634 |
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| 作者姓名： | 朱焕 李冬梅 宋迎春 |
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| 作者单位： | [1]哈尔滨理工大学应用科学学院数学系,黑龙江哈尔滨150080 [2]黑龙江八一农垦大学理学院数学系,黑龙江大庆163319 |
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| 基金项目： | 黑龙江省自然基金（A200502）;黑龙江省教育厅项目（12521099）;教育类博导类课题资助项目（20112305110002） |
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| 摘 要： | 研究了一类预防接种下疫苗具有有效期的SIRS传染病模型，得到了决定疾病绝灭与否的闽值，给出了无病平衡点和地方病平衡点的全局稳定性的充分条件，最后借助Matlab软件进行了数值模拟．
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| 关 键 词： | 预防接种 疫苗有效性 全局稳定性 |
Stability Analysis in an SIRS Epidemic Model with Vaccination Valid Term |
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| ZHU Huan,＇,LI Dong-meia SONG Ying-chun. Stability Analysis in an SIRS Epidemic Model with Vaccination Valid Term[J]. Journal of Biomathematics, 2013, 0(4): 629-634 |
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| Authors: | ZHU Huan ＇ LI Dong-meia SONG Ying-chun |
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| Affiliation: | 1 (1 Applied Science College, Harbin Univ.Sci.Tech, Harbin Heilongjiang 150080 China) (2 Sciences College, Heilongjiang Bayi Agriculture University, Daqing Heilongjiang 163319 China) |
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| Abstract: | In this paper, we study a kind of SIRS epidemic model with vaccination valid term. The threshold which determines the spread of the disease is found and the sufficient con- ditions which determine the global stability of both disease-free equilibrium point and endemic equilibrium point are given. Finally,numerical simulation is presented by using Matlab. |
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| Keywords: | Vaccination Valid term Global stability |
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