A new SEIR epidemic model with applications to the theory of eradication and control of diseases, and to the calculation of

We present a novel SEIR (susceptible–exposure–infective–recovered) model that is suitable for modeling the eradication of diseases by mass vaccination or control of diseases by case isolation combined with contact tracing, incorporating the vaccine efficacy or the control efficacy into the model. Moreover, relying on this novel SEIR model and some probabilistic arguments, we have found four formulas that are suitable for estimating the basic...