| 带有脉冲免疫和传染年龄的SEIJV传染病模型 |
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| 引用本文： | 王欣,熊佐亮,李顺异. 带有脉冲免疫和传染年龄的SEIJV传染病模型[J]. 南昌大学学报(工科版), 2007, 29(4): 350-354 |
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| 作者姓名： | 王欣 熊佐亮 李顺异 |
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| 作者单位： | 南昌大学,数学系,江西,南昌,30031;南昌大学,数学系,江西,南昌,30031;南昌大学,数学系,江西,南昌,30031 |
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| 基金项目： | 江西省自然科学基金资助项目(0611084) |
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| 摘 要： | 讨论了带脉冲免疫和传染年龄的SEIJV传染病模型,这类传染病有病原体I和J,其中病原体I可发展为病原体J,并且两种病原体对其他人口的传染及病原体I的恢复率均与染病者的年龄有关。运用脉冲微分方程和积分方程的理论和方法,得到染病再生数的表达式,证明了当染病再生数小于某一个小于1的数时,得到了无病周期解的全局吸引性。提出了带脉冲免疫和传染年龄的传染病模型需要解决的问题。
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| 关 键 词： | 脉冲免疫 传染年龄 病原体 全局吸引 |
| 文章编号： | 1006-0456（2007）04-0350-05 |
| 收稿时间： | 2007-08-28 |
| 修稿时间： | 2007-08-28 |
The SEIJV Epidemic Model with Impulsive Vaccination and Age of Infection |
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| WANG Xin,XIONG Zuo-liang,LI Shun-yi. The SEIJV Epidemic Model with Impulsive Vaccination and Age of Infection[J]. Journal of Nanchang University(Engineering & Technology Edition), 2007, 29(4): 350-354 |
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| Authors: | WANG Xin XIONG Zuo-liang LI Shun-yi |
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| Affiliation: | Departent of Math, Nanchang University, Nanchang 330031,China |
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| Abstract: | A SEIJV epidemic model with impulsive vaccination and age of infection is discussed.The epidemic has two-strain I and J.The strain I can develop the strain J in the model and the infectious rate of the two-strain to others,the recoverable rate of the strain I and the transmission rate of the strain I to the stain J have relation to the infectious age.By using the theory and the method of impulsive differential equation and integral equation,the explicit formula of the reproduction of infective is obtained.It is proved that the disease-free perdemic solution is global attractor if the reproduction of infective is below some one that is below 1.The question needed to be answered on the model is talked. |
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| Keywords: | impusive vaccination infection-age strain global attractor |
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