| 具有家庭因素的百日咳模型的稳定性分析 |
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| 引用本文： | 田轩,王稳地,李博.具有家庭因素的百日咳模型的稳定性分析[J].西南农业大学学报,2020,42(3):94-99. |
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| 作者姓名： | 田轩 王稳地 李博 |
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| 作者单位： | 西南大学 数学与统计学院, 重庆 400715 |
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| 基金项目： | 国家自然科学基金项目（11571284）. |
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| 摘 要： | 建立了一个带有家庭因素的百日咳模型.模型的动力学性态由基本再生数R_v决定.当R_v1时,无病平衡点全局渐近稳定;当R_v1时,在一定条件下地方病平衡点是全局渐近稳定的.最后,讨论了家庭因素对百日咳疾病传播的影响.
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| 关 键 词： | 百日咳 基本再生数 疫苗接种 家庭因素 |
| 收稿时间： | 2018/11/26 0:00:00 |
Stability Analysis of a Pertussis Model with Family Factors |
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| TIAN Xuan,WANG Wen-di,LI Bo.Stability Analysis of a Pertussis Model with Family Factors[J].Journal of Southwest Agricultural University,2020,42(3):94-99. |
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| Authors: | TIAN Xuan WANG Wen-di LI Bo |
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| Affiliation: | School of Mathematics and Statistics, Southwest University, Chongqing 400715, China |
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| Abstract: | In this paper, a pertussis model with family factors is constructed. The dynamics of our model is determined by the basic reproductive number Rv. When Rv<1, the disease-free equilibrium is globally asymptotically stable; when Rv>1, the endemic equilibrium is globally asymptotically stable under certain conditions. Finally, the effects of family factors on pertussis disease are discussed. |
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| Keywords: | pertussis basic reproduction number vaccination family factor |
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