| 两种群相互竞争具有脉冲预防接种的SIR传染病模型 |
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| 引用本文： | 宋运娜.两种群相互竞争具有脉冲预防接种的SIR传染病模型[J].科学技术与工程,2012,12(17):4091-4094. |
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| 作者姓名： | 宋运娜 |
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| 作者单位： | 齐齐哈尔医学院高数教研室,齐齐哈尔,161006 |
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| 基金项目： | 黑龙江省教育厅科研项目（12513096），齐齐哈尔市科技局科研项目 |
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| 摘 要： | 研究了一类具有脉冲预防接种的两种群相互竞争S(易感染者)-I(感染者)-R(治愈者)传染病模型,讨论了平衡点的存在性和局部渐进稳定性,脉冲接种有效的预防种群内,及其竞争种群间传染病的传播和蔓延。该接种方法可以在珍稀物种中推广。
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| 关 键 词： | 脉冲接种 竞争系统 平衡点稳定性 交叉传染 |
| 收稿时间： | 1/5/2012 4:49:20 PM |
| 修稿时间： | 2012/1/31 0:00:00 |
An SIR Epidemic Model with Pulse Vaccinationof Two Competitive Species |
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| songyunna.An SIR Epidemic Model with Pulse Vaccinationof Two Competitive Species[J].Science Technology and Engineering,2012,12(17):4091-4094. |
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| Authors: | songyunna |
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| Institution: | SONG Yun-na (Advanced Mathematics Section,Qiqihar Medical College,Qiqihar 161006,P.R.China) |
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| Abstract: | An S(susceptible)-I(infective)- R(cured) model with pulse vaccination is formulated for two competitive species. The uniformly persistence and locally asymptotic stability of equilibrium point are discussed. The effective way to prevent the infectious disease transmitted of species and the between competitive species is pulse vaccination. The means can be used for protecting rare and endangered species. |
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| Keywords: | pulse vaccination competitive species stability cross-infection of disease |
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