Stability of an SEIQR Epidemic Model with Different Infection Rates in the Latent Period and the Infected Period
An SEIQR epidemic model with saturating infection rate in incubation period and double linear infection rate in in-fection period was established in this paper,and give the basic regeneration number R0 of the model.It was proved that the disease-free equilibrium P0 is unique and globally asymptotically stable when R0<1;The model have two equilibrium points when R0>1,and the diseasefree equilibrium P0 was unstable and endemic equilibrium P∗was global stability if 2Aβ1<md.Finally,the correct-ness of the conclusion was validated by numerical simulation and the effect of isolation on infectious disease model were discussed.
incubation periodinfections periodisolationbasic regeneration number
万方数据
维普
