LI DouR--mei ZHANG Yu Yue W护 DONG Zai-fe. Stability Analysis of a SEIQR Epidemic Model with Saturated Incidence and Time Delay[J]. 2017, 22(2): 78-83.
DOI:
LI DouR--mei ZHANG Yu Yue W护 DONG Zai-fe. Stability Analysis of a SEIQR Epidemic Model with Saturated Incidence and Time Delay[J]. 2017, 22(2): 78-83.DOI: 10.15938/j.jhust.2017.02.015.
Stability Analysis of a SEIQR Epidemic Model with Saturated Incidence and Time Delay
Considering the effect of isolation and vaccination on control of disease,a SEIQR epidemic modelwith saturated incidence and time delay is established. Then,the existence condition of the disease-free equilibriumand endemic equilibrium and the permanence of model are obtained. The global stability of the disease-freeequilibrium and endemic equilibrium are proved by constructing an appropriate Liapunov function,numericalsimulations are presented to verify the properties of the models dynamics.