摘要
建立了具有时滞及非线性发生率的SIQR传染病模型,通过对无病平衡点和正平衡点处的特征方程的讨论,可得到在这两个平衡点处的局部渐近稳定性,进而得到了系统在两个平衡点处的全局渐近稳定性.
A model is formulated for the delayed SIQR epidemic with nonlinear incidence rate. By the analysis of disease-free equilibrium and positive equilibrium, local asymptotic stability of the positive equilibrium point is obtained and then the global asymptotic stability of the two equilibriums is obtained.
出处
《沧州师范学院学报》
2013年第2期16-18,共3页
Journal of Cangzhou Normal University
关键词
传染病
局部渐近稳定性
全局渐近稳定性
无病平衡点
正平衡点
Infectious disease
local asymptotic stability
global asymptotic stability
disease-free equilibrium
Positive equilibrium point
