| GLOBAL ASYMPTOTIC STABLE ERADICATION FOR THE SIV EPIDEMIC MODEL WITH IMPULSIVE VACCINATION AND INFECTION-AGE |
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| 作者姓名： | Helong LIU Jingyuan YU Guangtian ZHU |
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| 作者单位： | [1]Beijing Institute of Information and Control, Beijing 100037, China; Department of Mathematics, Xinyang Teachers College, Xinyang 464000, China. [2]Beijing Institute of Information and Control, Beijing 100037, China. [3]Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China. |
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| 基金项目： | The research is supported by the National Science Foundation of Henan Province （No. 0611051800）. |
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| 摘 要： | We study the application of a pulse vaccination strategy to eradicate the slowly progressingdiseases that have infectiousness in latent period.We derive the condition in which eradication solutionis a global attractor,this condition depends on pulse vaccination proportion p.We also obtain thecondition of the global asymptotic stability of the solution.The condition shows that large enoughpulse vaccination proportion and relatively small interpulse time lead to the eradication of the diseases.Moreover the results of the theoretical study might be instructive to the epidemiology of HIV.
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| 关 键 词： | 完全吸引子 全局渐近稳定性 接种 流行病模型 传染年龄 |
| 收稿时间： | 2005-04-04 |
| 修稿时间： | 2005-04-04 |
Global Asymptotic Stable Eradication for the Siv Epidemic Model with Impulsive Vaccination and Infection-Age |
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| Helong LIU Jingyuan YU Guangtian ZHU.GLOBAL ASYMPTOTIC STABLE ERADICATION FOR THE SIV EPIDEMIC MODEL WITH IMPULSIVE VACCINATION AND INFECTION-AGE[J].Journal of Systems Science and Complexity,2006,19(3):393-402. |
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| Authors: | Helong Liu Jingyuan Yu Guangtian Zhu |
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| Institution: | (1) Beijing Institute of Information and Control, Beijing, 100037, China;(2) Department of Mathematics, Xinyang Teachers College, Xinyang, 464000, China;(3) Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China |
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| Abstract: | We study the application of a pulse vaccination strategy to eradicate the slowly progressing diseases that have infectiousness in latent period. We derive the condition in which eradication solution is a global attractor, this condition depends on pulse vaccination proportion p. We also obtain the condition of the global asymptotic stability of the solution. The condition shows that large enough pulse vaccination proportion and relatively small interpulse time lead to the eradication of the diseases. Moreover the results of the theoretical study might be instructive to the epidemiology of HIV. |
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| Keywords: | Epidemic model global attractor global asymptotic stability impulsive vaccination infection-age |
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