Periodic Solutions of a Generalized SVIER Epidemic Model under Impulsive Periodic Vaccination

Raul Nistal, Manuel de la Sen, and Santiago Alonso-Quesada


Computational System Biology, Modelling, Simulation, Systems, and Control, epidemic modeling, SVEIR


We will study the stability of a periodic regime of a modeled system for the theoretical dynamic of infection and spreading of a generalized disease under impulsive and constant regular vaccination. Our model represents various stages of the disease: The recently infected, although not infectious yet, becomes full-infectious after a certain time and, eventually, overcomes the disease and stays temporally as recovered population, immune to the disease. We introduce also a vaccinated population, both by continous and impulsive vaccination programs, which has a resistance of contracting the disease, and ultimately becomes fully immune, as well as the recovered.

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