Author(s):
Mateus, Joaquim ; Rebelo, Paulo ; Rosa, Silvério ; Silva, César ; Torres, Delfim
Date: 2018
Persistent ID: http://hdl.handle.net/10314/4607
Origin: Repositório Científico da Universidade Politécnica da Guarda
Subject(s): Epidemic model; Non-autonomous control system; Vaccination and treatment control; Optimal control; Numerical simulations
Description
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.