Abstract
An age-dependent epidemic model is studied with the goal of designing a state feedback stabilizing vaccination law to eradicate a disease. This model consists of a set of three nonlinear partial-integro differential equations (PIDE). A salient feature of the dynamical analysis is the fact that, if the basic reproduction number is greater than one, then the disease-free equilibrium is unstable. In view of this, we provide a linearizing state feedback vaccination law that is deduced from the one obtained for the PIDE model discretisation with respect to the age. Conditions guaranteeing stability of the closed-loop system and positivity of the feedback control are obtained using Isidori's theory and semigroup theory. Numerical simulations complete the analysis.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
