GLOBAL DYNAMICS OF AN SIQR EPIDEMIC MODEL WITH QUARANTINE STRATEGY AND TIME DELAY
In this paper, Global dynamics of an SIQR epidemic model with quarantine strategy and delay was studied.On the basis of the SIQR epidemic model which completely determines the global dynamics and results of disease was given in 1, considering the latency of the disease and introducing discrete time-delay, we established the new dynamic model with time delays describing epidemic.The basic reproduction number R0 which completely determines the global dynamics and results of disease was solved in this paper.We give a qualitative analysis of this model and reveal the inherent rule of infectious diseases.
SIQRepidemic model basic reproduction number time delay locally asymptotically stable Global asymptotic stability
JING XU NANNAN ZHANG YONGFENG MA
School of mathematics and Physics,Dalian Jiaotong University,Dalian 116028,China
国际会议
成都
英文
1542-1546
2011-11-25(万方平台首次上网日期,不代表论文的发表时间)