具有接种和无症状传播模型的研究

Studies with Vaccination and Asymptomatic Transmission Models

摘要: 疫苗接种，是将疫苗制剂接种到人或动物体内的技术，使接受方获得抵抗某一特定或与疫苗相似病原的免疫力，借由免疫系统对外来物的辨认，进行抗体的筛选和制造，以产生对抗该病原或相似病原的抗体，进而使受注射者对该疾病具有较强的抵抗能力。流感病毒已经与人类共存了几个世纪，历史上一直是造成过高发病率和死亡率的原因。由于与流感相关的疾病和高死亡率，本文建立具有接种和无症状传播的两菌株传染病模型。首先分析了模型的动力学行为，包括两菌株的基本再生数、无病平衡点的存在性和稳定性，同时基于实际数据进行灵敏度分析。

Abstract: Vaccination is the technology of vaccinating vaccine preparations into human or animal bodies, so that the recipient can obtain immunity against a specific or similar pathogen with the vaccine. Through the identification of foreign substances by the immune system, antibody screening and manufacturing are carried out to produce antibodies against the disease or similar pathogens, so that the injected person has a strong resistance to the disease. Influenza viruses have coexisted with humans for centuries and have historically been the cause of excessive morbidity and mortality. Due to influenza-associated illness and high mortality, a two-strain infectious disease model with inoculation and asymptomatic transmission was developed. Firstly, the kinetic behavior of the model was analyzed, including the basic regeneration number of the two strains, the existence and stability of the disease-free equilibrium point, and the sensitivity analysis was carried out based on the actual data.