摘要
以偏微分方程为工具建立了一类具有年龄结构和隔离措施的传染病模型,研究了模型的有关性态。得到了再生数f(0)的表达式,证明了当f(0)<1时,系统存在唯一全局渐近稳定的无病平衡态;当f(0)>1时,证明了无病平衡态和地方病平衡态都存在,无病平衡态不稳定,在地方病平衡态处的线性化系统的特征方程无非负实根。
It establishes a SEIQR epidemic model in PDE,and studies the character of the model.The expression of the reproductive number f（0） is obtained.When f（0） is less than one,it is proved that the disease-free equilibrium exists uniquely and it is global asymptotically stable.When f（0） is great than one one,it is proved that both the disease-free equilibrium and the endemic equilibrium exists,the disease-free equilibrium is unstable.But the characteristic equation of the linearized system at the endemic equilibrium has no nonnegative real root.
出处
《南昌大学学报（理科版）》
CAS
北大核心
2010年第2期120-123,共4页
Journal of Nanchang University(Natural Science)
基金
国家科技支持基金资助项目(2006BAD32B03-5)
关键词
年龄结构
隔离措施
再生数
稳定性
age-structured
isolationreproductive number
stability
