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

• Type: Article in International Scientific Journal
• Date: 2017

Authors

Maria do Rosário de Pinho (Author) FEUP; Filipa Nunes Nogueira (Author) Other

Journal

Title: Mathematical Biosciences and Engineering

Vol. 14 No. 1

Pages: 111-126

ISSN: 1547-1063

Publisher: Arizona State University

Indexing

ISI Web of Knowledge - 6 Citations

Scopus - 9 Citations

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 14