On Vaccination Controls for the SEIR Epidemic Model

Manuel De la Sen, Santiago Alonso-Quesada, and Asier Ibeas


stability, epidemic models, control, SEIR models


This paper presents a simple SEIR (susceptible plus infected plus infectious plus removed populations) propagation disease model. The model is of true mass action type and takes into account the total population amounts as a refrain for the illness transmission since its increase makes more difficult contacts among susceptible and infected. It also describes the infectious population as the output of a dynamic system. Stability and positivity issues of the related resulting model are discussed.

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