2013•Harbin Ligong Daxue xuebaoOpen access

A Kind of Autonomous SEIR Epidemic Model of Continuous Vaccination

Weihua Liu

Abstract

This paper studies a class of continuous vaccination delay SEIR epidemic model.In this model,assuming that all newborns for continuous vaccination,taking into account the distribution of delay,saturating contact rate of the impact of infectious disease model.Through analysis,we find the threshold of disease-free equilibrium and endemic equilibrium.The use of Liapunov-Lasalle invariance principle has been disease-free equilibrium of the global stability,and the use of the comparison principle is a sufficient condition for persistence model.

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Available abstract

Key concepts: Epidemic model, Mathematics, Invariance principle, Stability (learning theory), Vaccination, Applied mathematics, Infectious disease (medical specialty), Persistence (discontinuity)