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| 信息干预下的HBV传染病模型稳定性分析 |
| Stability Analysis of HBV Infectious Disease Models with Information Intervention |
| 投稿时间：2024-03-20 修订日期：2024-04-16 |
| DOI： |
| 中文关键词: 信息干预 传染病模型 稳定性分析 HBV |
| 英文关键词: Information interventions Hepatitis B model Stability analysis HBV |
| 基金项目:国家自然科学基金(12271068, 11961024);重庆市研究生联合培养基地建设项目(JDLHPYJD2021016);重庆市高校创新研究群体项目(CXQT21021);重庆市自然科学基金创新发展联合基金(CSTB2022NSCQ-LZX0026). |
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| 中文摘要: |
| 考虑媒体信息对HBV传染病的影响，本文构建了信息干预下的HBV传染病模型，计算了疾病传播的基本再生数，进一步研究了无病平衡点和地方病平衡点的存在性和稳定性，得到了疾病绝灭的控制条件，通过相关结果我们发现适当地增加信息干预强度会减少HBV感染者数量，进而加快控制疾病的传播。 |
| 英文摘要: |
| Considering the influence of media information on HBV infectious disease, this paper constructs a model of HBV infectious disease under information intervention, calculates the basic regeneration number of disease transmission, further investigates the existence and stability of the disease-free equilibrium point and the endemic equilibrium point, and obtains the control conditions of disease extinction, and through the relevant results, we find that appropriately increasing the intensity of information intervention reduces the number of HBV-infected people, which in turn accelerates the control of the spread of the disease. |
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