Autor(es):
Mateus, Joaquim ; Rebelo, Paulo ; Rosa, Silvério ; Silva, César ; Torres, Delfim
Data: 2018
Identificador Persistente: http://hdl.handle.net/10314/4607
Origem: Repositório Científico da Universidade Politécnica da Guarda
Assunto(s): Epidemic model; Non-autonomous control system; Vaccination and treatment control; Optimal control; Numerical simulations
Descrição
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.