曾丽颖, 刘亚威, 牟鱼.信息干预下的HBV传染病模型稳定性分析[J].海南师范大学学报自科版,2024,37(4):425-434 |
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 |
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DOI:10.12051/j.issn.1674-4942.2024.04.004 |
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 infectious disease model stability analysis HBV |
基金项目:国家自然科学基金项目(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项目(CSTB2022NSCQ-LZX0026) |
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中文摘要: |
考虑媒体信息对HBV传染病的影响,构建了信息干预下的HBV传染病模型,研究了无病平衡点和地方病平衡点的存在性和稳定性,得到了无病平衡点和地方病平衡点的全局稳定性条件。根据相关结果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, a model of HBV infectious disease under information intervention is constructed, the existence and stability of the disease-free equilibrium point and the endemic equilibrium point are further investigated, and the global stability conditions for the disease-free equilibrium and the endemic equilibrium are obtained. According to the relevant results, it is found 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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