Xu Wenxiong,Zhang Tailei
(School of Sciences, Xi'an Jiaotong University,Xi'an 710049, China)
Abstract:A kind of non-linear high dimensional autonomous system,SEIQR epidemiology model containing quarantine is studied£®The threshold,basic reproductive number,which determines whether a disease is extinct or not is obtained.The existence and global stabilities of the disease-free equilibrium and the endemic equilibrium are proved£®The conclusions indicate that a proper increasing of segregation intension benefits the efficient restraining disease spread£®It is theoretically showed that the segregation has an active effect on disease controlling£®
Keywords:epidemic; mathematical model; threshold; basic reproductive number; nonlinearity; high dimensional differential system; global stability;orbital asymptotical stability