On application of optimal control to SEIR normalized models: Pros and cons

• Tipo: Artigo em Revista Científica Internacional
• Data: 2017

Autores

Maria do Rosário de Pinho (Autor) FEUP; Filipa Nunes Nogueira (Autor) Outra

Revista

Título: Mathematical Biosciences and Engineering

Vol. 14 Nº 1

Páginas: 111-126

ISSN: 1547-1063

Editora: Arizona State University

Indexação

ISI Web of Knowledge - 6 Citações

Scopus - 9 Citações

Outras Informações

ID Authenticus: P-00M-774

DOI: 10.3934/mbe.2017008

Abstract (EN): 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 L-1 cost. We discuss the pros and cons of SEIR normalized models when compared with classical models when optimal control with L-1 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 14