摘要
在SIQR传染病模型的基础上,考虑疾病的潜伏情况,引入离散时滞,建立了描述H1N1流行病的带有时滞的新的动力学模型,得到了疾病灭绝与否的阈值(基本再生数R0),分析了该模型的稳定性态,揭示了传染病流行的内在规律.
Global dynamics of an SIQR epidemic model with quarantine strategy and delay was studied.On the basis of the SIQR epidemic model,a new dynamic model with time delays describing H1N1 epidemic considering the latency of the disease and introducing discrete time-delay is established.The sharp threshold,basic reproduction number R0 which completely determines the global dynamics are obtained with a qualitative analysis of this model,the inherent rule of infectious diseases is revealed.
出处
《大连交通大学学报》
CAS
2011年第4期99-102,共4页
Journal of Dalian Jiaotong University
关键词
基本再生数
平衡点
时滞
局部渐近稳定
全局渐近稳定
basic reproduction number； equilibrium； delay； locally asymptotical stability； globally asymptotical stability
作者简介
万维明（1956-），男，教授，学士，主要从事微分方程定性理论的研究E-mail：wanweiming560210@163．com．
