季节性流感与禽流感传播的建模与研究

发布时间：2018-04-20 10:14

本文选题：季节性流感 + 禽流感　；参考：《信阳师范学院》2012年硕士论文

【摘要】：甲型流感病毒H5N1亚型,也称为H5N1禽流感,是甲型流感病毒的一个高致病性亚型.它可以通过连续变异和自发变异两种进化机制演变成一种新的流感病毒,这种病毒具有较高发病率和死亡率,我们称之为大流行流感病毒,这种病毒的病原体能反复地感染人群.本文建立和研究了季节性流感与禽流感共同传播且考虑禽流感病毒变异的疾病传播模型,此模型中包含这两种进化机制和三种类型的流感：季节性流感,H5N1禽流感和由H5N1禽流感变异而成的大流行流感,并假设流感之间存在共同感染.假设总人口为常数,采用双线性发生率,得到了基本再生数和入侵再生数的表达式,分析了无病平衡点、流感占优平衡点和共存平衡点的存在性,证明了部分平衡点的稳定性.
[Abstract]:Influenza A H5N1 subtype, also known as H5N1 avian influenza, is a highly pathogenic subtype of influenza A virus. It can evolve into a new influenza virus through two evolutionary mechanisms, continuous mutation and spontaneous mutation, which have high morbidity and mortality, which we call pandemic influenza viruses. The pathogen of the virus can infect people repeatedly. In this paper, we have established and studied a disease transmission model in which seasonal influenza and avian influenza are co-transmitted and the variation of avian influenza virus is considered. The model includes these two evolutionary mechanisms and three types of influenza: seasonal influenza, H5N1 avian influenza, and pandemic influenza, mutated from H5N1 avian influenza, and assumes that there is a co-infection between influenza. Assuming that the total population is constant, the expressions of basic regeneration number and invasion regeneration number are obtained by using bilinear incidence. The existence of disease-free equilibrium point, influenza dominant equilibrium point and coexistence equilibrium point are analyzed, and the stability of partial equilibrium point is proved.
【学位授予单位】：信阳师范学院
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：R311;O175

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