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This paper presents a vaccination-based control strategy for a SEIR(susceptible plus infected plus infectious plus removed populations)propagation disease model. The model takes into account the total populationamounts as a refrain for the illness transmission since its increase makes moredifficult contacts among susceptible and infected. The control objective is theasymptotically tracking of the removed-by-immunity population to the totalpopulation while achieving simultaneously the remaining population (i.e.susceptible plus infected plus infectious) to asymptotically tend to zero.

Some vaccination strategies for the SEIR epidemic model. Preliminary results