长安大学理学院, 陕西 西安 710064
苏妤柔(2000年生),女;研究方向:生物数学;E-mail:yurousu2025@163.com
张太雷(1980年生),男;研究方向:生物数学;E-mail:tlzhang@chd.edu.cn
收稿:2024-11-27,
录用:2025-01-25,
网络出版:2025-04-21,
纸质出版:2025-07-25
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苏妤柔,张太雷,张岩丹等.基于疫苗接种和环境传播的戊型肝炎传染病模型[J].中山大学学报(自然科学版)(中英文),2025,64(04):163-174.
SU Yurou,ZHANG Tailei,ZHANG Yandan,et al.A Hepatitis E epidemic model based on vaccination and environmental transmission[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2025,64(04):163-174.
苏妤柔,张太雷,张岩丹等.基于疫苗接种和环境传播的戊型肝炎传染病模型[J].中山大学学报(自然科学版)(中英文),2025,64(04):163-174. DOI: 10.13471/j.cnki.acta.snus.ZR20240338.
SU Yurou,ZHANG Tailei,ZHANG Yandan,et al.A Hepatitis E epidemic model based on vaccination and environmental transmission[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2025,64(04):163-174. DOI: 10.13471/j.cnki.acta.snus.ZR20240338.
戊型肝炎是一种主要通过粪-口途径传播的急性病毒性肝炎. 本研究根据戊型肝炎的传播机理,构建了一类具有疫苗接种和潜伏期感染的SVEIRB戊型肝炎传染病模型. 通过对模型的动力学分析,确定了模型的基本再生数
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. 当
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时,无病平衡点全局渐近稳定;当
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时,地方病平衡点全局渐近稳定.选取陕西省戊肝患者病例数,通过数值模拟,预测了未来几年戊肝的流行趋势,同时使用偏秩相关系数法分析了不同参数对疾病传播的影响. 结果显示,疫苗接种和环境卫生是影响疾病传播的关键因素. 因此,通过提高疫苗接种率、加强环境卫生管理以及提高公众健康意识,能够有效控制疾病的传播.
Hepatitis E is an acute viral hepatitis mainly transmitted through the fecal-oral route. Based on the transmission mechanism of Hepatitis E, a SVEIRB Hepatitis E infectious disease model with vaccination and latent infections is constructed. Through the dynamic analysis of the model, the basic reproduction number of the model is determined. When
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, the disease-free equilibrium is globally asymptotically stable; when
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, the endemic equilibrium is globally asymptotically stable. Selecting the number of Hepatitis E patient cases in Shaanxi Province, the epidemic trend of Hepatitis E in the next few years is predicted through numerical simulation. Meanwhile, the partial rank correlation coefficient method is used to analyze the influence of different parameters on disease transmission. The results show that vaccination and environmental sanitation are the key factors affecting disease transmission. Therefore, by increasing the vaccination rate, strengthening environmental sanitation management and raising public health awareness, the transmission of the disease can be controlled effectively.
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