| 一类具饱和传染力和常数输入的SIRS脉冲接种模型研究 |
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| 引用本文： | 高淑京,滕志东. 一类具饱和传染力和常数输入的SIRS脉冲接种模型研究[J]. 生物数学学报, 2008, 23(2) |
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| 作者姓名： | 高淑京 滕志东 |
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| 作者单位： | 1. 新疆大学,数学与系统科学学院,新疆,乌鲁木齐,830046;赣南师范学院,数学与计算机科学学院,江西,赣州,341000
2. 新疆大学,数学与系统科学学院,新疆,乌鲁木齐,830046 |
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| 摘 要： | 利用Floquet乘子理论,研究了一类具饱和传染力和常数输入的SIRS脉冲接种模型,得到了无病周期解全局渐近稳定和系统持久的充分条件.
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| 关 键 词： | 饱和传染力 SIRS模型 脉冲接种 全局渐近稳定 |
Impulsive Vaccination of an SIRS Model with Saturation Infectious Force and Constant Recruitment |
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| GAO Shu-jing,TENG Zhi-dong. Impulsive Vaccination of an SIRS Model with Saturation Infectious Force and Constant Recruitment[J]. Journal of Biomathematics, 2008, 23(2) |
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| Authors: | GAO Shu-jing TENG Zhi-dong |
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| Affiliation: | 1 (1 College of Mathematics and Systems Science; Xinjiang University; Urumqi Xinjiang 830046 China) (2 College of Mathematics and Computer Science; Gannan Normal University; Ganzhou Jiangxi 341000 China); |
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| Abstract: | By using Floquet theory,an SIRS impulsive vaccination model with saturation infectious force and constant recruitment is analyzed.We obtain the condtions for global asymp- totical stability of the infection-free periodic solution and permanence of the model. |
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| Keywords: | Saturation infectious force SIRS model Pulse vaccination Global asymptotical stability |
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