Author(s): Mateus, Joaquim P. ; Rebelo, Paulo ; Rosa, Silvério ; Silva, César M. ; Torres, Delfim F. M.
Date: 2018
Persistent ID: http://hdl.handle.net/10773/24517
Origin: RIA - Repositório Institucional da Universidade de Aveiro
Subject(s): Epidemic model; Non-autonomous control system; Numerical simulations; Vaccination and treatment control; Optimal control
We study an optimal control problem for a non-autonomous SEIRS model with incidence given by a general function of the infective, the susceptible and the total population, and with vaccination and treatment as control variables. We prove existence and uniqueness results for our problem and, for the case of mass-action incidence, we present some simulation results designed to compare an autonomous and corresponding periodic model, as well as the controlled versus uncontrolled models
