A vaccination strategy for fighting against the propagation of epidemic diseases within a host population is purposed. A SEIR epidemic model is used to describe the propagation of the illness. This compartmental model divides the population in four classes by taking into account their status related to the infection. In this way, susceptible, exposed, infectious and recovered populations are included in the model. The vaccination strategy is based on a continuous-time nonlinear control law synthesized via an exact feedback input-output linearization approach. The asymptotic eradication of the infection from the host population under such a vaccination is proved. Moreover, the positivity and stability properties of the controlled system are investigated. © Springer-Verlag Berlin Heidelberg 2013.
Alonso-Quesada, S., De la Sen, M., & Ibeas, A. (2013). A Vaccination Strategy Based on a State Feedback Control Law for Linearizing SEIR Epidemic Models. In Communications in Computer and Information Science (Vol. 357 CCIS, pp. 195–209). Springer Verlag. https://doi.org/10.1007/978-3-642-38256-7_13