Analysis of an SEIR Epidemic Model with a General Feedback Vaccination Law

M De La Sen, S Alonso-Quesada, A Ibeas, R Nistal
This paper discusses and formulates a continuous-time SEIR-type epidemic model of pseudo-mass action type with finitely distributed delays under a very general, and in general time-varying, vaccination control rule which eventually generates feedback actions on the susceptible, infectious and recovered subpopulations. A lot of particular vaccination laws can be got from the proposed general one. The equilibrium points are characterized and their local stability properties discussed depending on
more » ... cussed depending on the limits of the vaccination control gains provided that they converge asymptotically.