| 一类具有非线性传染率和脉冲接种的SIV传染病模型 |
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| 引用本文： | 朱慧,熊佐亮. 一类具有非线性传染率和脉冲接种的SIV传染病模型[J]. 南昌大学学报(工科版), 2007, 29(1): 58-61 |
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| 作者姓名： | 朱慧 熊佐亮 |
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| 作者单位： | 南昌大学,数学系,江西,南昌330031;淮阴工学院,计科系,江苏,淮安,223002;南昌大学,数学系,江西,南昌330031 |
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| 摘 要： | 研究了一类具有脉冲预防接种且带有非线性传染率的SIV传染病模型,并考虑了人口总数变化,与总人口量有关的自然死亡率以及因病死亡率的因素,证明了无病周期解的存在性,得到了基本再生数.通过脉冲微分方程的F loquet理论得出无病周期解局部渐近稳定,并利用比较定理进一步推出无病周期解全局渐近稳定.
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| 关 键 词： | 脉冲接种 SIV传染病模型 再生数 全局渐近稳定性 |
| 文章编号： | 1006-0456（2007）01-0058-04 |
| 收稿时间： | 2006-07-21 |
| 修稿时间： | 2006-07-21 |
An SIV Epidemic Model with Impulsive Vaccination and Nonlinear Incidence Rate |
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| ZHU Hui,XIONG Zuo-liang. An SIV Epidemic Model with Impulsive Vaccination and Nonlinear Incidence Rate[J]. Journal of Nanchang University(Engineering & Technology Edition), 2007, 29(1): 58-61 |
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| Authors: | ZHU Hui XIONG Zuo-liang |
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| Affiliation: | 1. Department of Mathematics, Nanchang University, Nanchang 330031, China; 2. Department of Computing Science, Huaiyin Institute of Technology ,Huaian 223002, China |
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| Abstract: | An SIV epidemic model with impulsive vaccination and nonlinear incidence rate is studied.Besides,a varying total population size,the natural death rate which is related to the total population size and the disease-related death rate are considered.The existence of the disease-free periodic solution is proved and the basic reproductive number of the model is defined.By using the Floquet theory of impulsive equation the locally asymptotic stability of the disease-free periodic solution is proved.And the globally asymptotic stability of the disease-free periodic solution is obtained by using the comparison theorem. |
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| Keywords: | impulsive vaccination SIV epidemic model reproductive number globally asymptotic stability |
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