Optimal vaccination policy in an epidemiological model with waning immunity

Abstract

The talk will present an immuno-epidemiological model that captures the basic dynamic features of immunity acquisition and wane after infection or vaccination and analyzes its dynamical properties. The model consists of first order partial differential equations with different transfer velocities. For this reason, the proved existence of a solution is novel and non-trivial. The asymptotic behaviour of the model is analysed using the obtained qualitative properties of the solution. An optimal control problem with objective function including the total number of deaths and the costs of vaccination is explored. Numerical results of comarative analysis will be presented and discussed. The talk is based on a joint paper with G. Angelov, R. Kovacevic, and N. Stilianakis