Analysis for an SEIR epidemic model with pulse vaccination and distributed delay. (Chinese. English summary) Zbl 1349.34362
Summary: Pulse vaccination is an effective way to control the spread of infectious diseases in real world. A class of SEIR epidemic model with pulse vaccination and distributed delay is proposed. The existence of a periodic solution is obtained. Then, the global stability of the model is obtained by using an impulsive comparison principle. Finally, using again a comparison principle, we obtain the permanence of the model.
MSC:
| 34K60 | Qualitative investigation and simulation of models involving functional-differential equations |
| 34K25 | Asymptotic theory of functional-differential equations |
| 34K13 | Periodic solutions to functional-differential equations |
| 34K20 | Stability theory of functional-differential equations |
| 34K45 | Functional-differential equations with impulses |
| 92D30 | Epidemiology |
