具有暂时免疫和母体抗体保护的轮状病毒传播模型的分析

卢琨; 李建全; 谭宏武

doi:10.21656/1000-0887.400391

具有暂时免疫和母体抗体保护的轮状病毒传播模型的分析

doi: 10.21656/1000-0887.400391

陕西科技大学文理学院数学系, 西安 710021

基金项目: 国家自然科学基金(11301314；11501443；11971281);陕西省榆林市科学技术研究与开发项目(2018-02-40)

详细信息

作者简介:
卢琨(1980—)，女，硕士(通讯作者. E-mail: luk@sust.edu.cn)；李建全(1965—)，男，博士(E-mail: jianq_li@263.net)；谭宏武(1978—)，男，硕士(E-mail: tanhongwu@sust.edu.cn).

中图分类号: O357.41
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出版历程
- 收稿日期: 2019-12-30
- 修回日期: 2020-03-25
- 刊出日期: 2020-07-01

Analysis of a Rotavirus Transmission Model With Temporary Immunity and Protection From Maternal Antibody

Department of Mathematics, School of Arts and Sciences,Shaanxi University of Science & Technology, Xi’an 710021, P.R.China

Funds: The National Natural Science Foundation of China(11301314；11501443；11971281)

摘要

摘要: 轮状病毒(RV)是目前世界范围之内导致儿童发生严重腹泻最主要的病原体.为研究轮状病毒的传播规律，基于被轮状病毒感染后的恢复者具有暂时免疫和母体抗体对新生儿具有保护的特点，建立了一类轮状病毒的传播感染模型，通过动力学分析得到了决定此传染病流行与否的基本再生数.在分析模型平衡点局部稳定性的基础上，通过构造Lyapunov函数证得当基本再生数不大于1时无病平衡点是全局稳定的，借助Fonda引理推得当基本再生数大于1时疾病持续生存于种群之中.
- 基本再生数 /
- 全局渐近稳定 /
- 持续生存 /
- 暂时免疫 /
- 轮状病毒
Abstract: Rotavirus is the leading cause of severe diarrhea in children worldwide. To study the spread of rotavirus, a rotavirus transmission model was proposed based on the characteristics of temporary immunity after infection and maternal antibody protecting the newborn. By means of dynamic analysis, the basic reproduction number deciding the persistence of the infection was obtained. Based on the local stability analysis of the feasible equilibria, it was proved that the diseasefree equilibrium will be globally asymptotically stable if the basic reproduction number is no more than 1, through construction of appropriate Lyapunov functions. The disease will persist in the population if the basic reproduction number is more than 1 according to the Fonda lemma.
- basic reproduction number /
- global asymptotic stability /
- persistence /
- temporary immunity /
- rotavirus

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参考文献(21)

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具有暂时免疫和母体抗体保护的轮状病毒传播模型的分析

doi: 10.21656/1000-0887.400391

作者简介:
卢琨(1980—)，女，硕士(通讯作者. E-mail: luk@sust.edu.cn)；李建全(1965—)，男，博士(E-mail: jianq_li@263.net)；谭宏武(1978—)，男，硕士(E-mail: tanhongwu@sust.edu.cn).

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Analysis of a Rotavirus Transmission Model With Temporary Immunity and Protection From Maternal Antibody

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目录

留言板

具有暂时免疫和母体抗体保护的轮状病毒传播模型的分析

doi: 10.21656/1000-0887.400391

作者简介: 卢琨(1980—)，女，硕士(通讯作者. E-mail: luk@sust.edu.cn)；李建全(1965—)，男，博士(E-mail: jianq_li@263.net)；谭宏武(1978—)，男，硕士(E-mail: tanhongwu@sust.edu.cn).

计量

出版历程

Analysis of a Rotavirus Transmission Model With Temporary Immunity and Protection From Maternal Antibody

计量

出版历程

目录

作者简介:
卢琨(1980—)，女，硕士(通讯作者. E-mail: luk@sust.edu.cn)；李建全(1965—)，男，博士(E-mail: jianq_li@263.net)；谭宏武(1978—)，男，硕士(E-mail: tanhongwu@sust.edu.cn).