title: On application of optimal control to SEIR normalized models: Pros and cons.
abstract: In this work we normalize a SEIR model that incorporates exponential natural birth and death, as well as disease-caused death. We use optimal control to control by vaccination the spread of a generic infectious disease described by a normalized model with L1 cost. We discuss the pros and cons of SEIR normalized models when compared with classical models when optimal control with L1 costs are considered. Our discussion highlights the role of the cost. Additionally, we partially validate our numerical solutions for our optimal control problem with normalized models using the Maximum Principle.
authors.affiliation: SYSTEC, DEEC, Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal. email: mrpinho@fe.up.pt.
authors.forename: Maria do Rosario
authors.initials: MD
authors.lastname: de Pinho
authors.forename: Filipa Nunes
authors.initials: FN
authors.lastname: Nogueira
mesh_terms: D003140:Communicable Disease Control / Q000191:economics; D003141:Communicable Diseases / Q000191:economics; D006801:Humans; D008954:Models, Biological; D014611:Vaccination / Q000191:economics