HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Conference papers

Optimal Control of a SEIR Model with Mixed Constraints and L1 Cost

Abstract : 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.
Document type :
Conference papers
Complete list of metadata

Contributor : Estelle Bouzat Connect in order to contact the contributor
Submitted on : Thursday, January 8, 2015 - 12:34:30 PM
Last modification on : Friday, April 22, 2022 - 11:42:04 AM

Links full text




Maria Do Rosário de Pinho, Igor Kornienko, Helmut Maurer. Optimal Control of a SEIR Model with Mixed Constraints and L1 Cost. CONTROLO’2014, 2014, Porto, Portugal. pp.135-145, ⟨10.1007/978-3-319-10380-8_14⟩. ⟨hal-01101301⟩



Record views