| 一类具有多时滞和非线性发生率的脉冲接种SEIRS传染病模型 |
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| 引用本文： | 黄灿云,安小峰.一类具有多时滞和非线性发生率的脉冲接种SEIRS传染病模型[J].兰州理工大学学报,2011,37(1):121-125. |
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| 作者姓名： | 黄灿云 安小峰 |
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| 作者单位： | 兰州理工大学,理学院,甘肃,兰州,730050 |
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| 基金项目： | 兰州理工大学博士基金(BS10200903)的资助 |
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| 摘 要： | 研究脉冲预防接种下具有非线性发生率和带有多个时滞的SEIRS传染病模型的动力学行为,利用比较原理,证明当R*<1时无病周期解的全局吸引性,并给出当R*>1时疾病持续生存的充分条件.
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| 关 键 词： | SEIRS模型 脉冲接种 时滞 全局吸引性 持久性 |
A impulsive Vaccination SEIRS epidemic model with multi-delay and nonlinear incidence rate |
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| HUANG Can-yun,AN Xiao-feng.A impulsive Vaccination SEIRS epidemic model with multi-delay and nonlinear incidence rate[J].Journal of Lanzhou University of Technology,2011,37(1):121-125. |
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| Authors: | HUANG Can-yun AN Xiao-feng |
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| Institution: | HUANG Can-yun,AN Xiao-feng(School of Sciences,Lanzhou Univ.of Tech.,Lanzhou 730050,China) |
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| Abstract: | The dynamical behavior of SEIRS epidemic model with nonlinear incidence rate and multi-delay was studied in the case of impulsive vaccination.By using the comparison principle,the global attractivity of infection-free periodic solution was verified when R*<1,and a sufficient condition for the permanence of the epidemic was also given for R*>1. |
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| Keywords: | SEIRS model impulsive vaccination time delay global attractivity permanence |
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