Pulse vaccination of an SEIR epidemic model with time delay. (English) Zbl 1144.34390

Summary: A delayed epidemic model with pulse vaccination is formulated in this paper. It is proved that the disease-free periodic solution is globally attractive if the vaccination rate is larger than \(\theta ^{*}\), and the disease is uniformly persistent if the vaccination rate is less than \(\theta _{*}\). The permanence of the model is investigated analytically. Our results indicate that large vaccination rate or short pulse of vaccination or long latent period is sufficient condition for the extinction of the disease.


34K60 Qualitative investigation and simulation of models involving functional-differential equations
34K20 Stability theory of functional-differential equations
34K25 Asymptotic theory of functional-differential equations
92D30 Epidemiology
Full Text: DOI


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