Optimal Control of a SEIR Model with Mixed Constraints and L-1 Cost

• Type: Article in International Conference Proceedings Book
• Date: 2015

Authors

de pinho, md (Author) FEUP; kornienko, i (Author) Other; maurer, h (Author) Other

Conference proceedings International

Title: Lecture Notes in Electrical Engineering

Pages: 135-145

11th Portuguese Conference on Automatic Control, CONTROLO 2014

Porto, 21 July 2014 through 23 July 2014

Indexing

ISI Web of Knowledge - 12 Citations

Scopus - 17 Citations

Scientific classification

FOS: Engineering and technology > Electrical engineering, Electronic engineering, Information engineering

Other information

Authenticus ID: P-009-TQ6

DOI: 10.1007/978-3-319-10380-8_14

Abstract (EN): Optimal control can help to determine vaccination policies for infectious diseases. For diseases transmitted horizontally, SEIR compartment models have been used. Most of the literature on SEIR models deals with cost functions that are quadratic with respect to the control variable, the rate of vaccination. Here, we propose the introduction of a cost of L-1 type which is linear with respect to the control variable. Our starting point is the recent work [1], where the number of vaccines at each time is assumed to be limited. This yields an optimal control problem with a mixed control-state constraint. We discuss the necessary optimality conditions of the Maximum Principle and present numerical solutions that precisely satisfy the necessary conditions.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11