Titlebar

Export bibliographic data
Literature by the same author
plus on the publication server
plus at Google Scholar

 

Optimal vaccination strategies for an improved SEIR model

Title data

Thäter, Markus ; Chudej, Kurt ; Pesch, Hans Josef:
Optimal vaccination strategies for an improved SEIR model.
2015
Event: OR 2015 : International Conference on Operations Research 2015 : Optimal Decisions and Big Data , 02.-04.09.2015 , Wien, Austria.
(Conference item: Conference , Speech )

Related URLs

Abstract in another language

An improved SEIR model for an infectious disease is presented which includes logistic growth for the the total population. The aim is to develop optimal vaccination strategies against the spread of a generic desease in a city on the one hand and in rural areas on the other hand. These vaccination strategies arise from the study of optimal control problems with various kinds of constraints including mixed control-state and state constraints and, for the two different area-types, a quadratic respectively a linear cost functional is used. After presenting the new models and implementing the optimal control problems by means of a first-discretize-then-optimize method, numerical results for the scenarios are discussed and compared to an analytical optimal control law based on Pontrygin’s minimum principle respectively by a switching-function-method that allows to verify these results as approximations of candidate optimal solutions.

Further data

Item Type: Conference item (Speech)
Refereed: No
Additional notes: Talk about the subjects discussed in the Masters Thesis of Markus Thäter
Keywords: Mathematik; Optimale Steuerung; Optimal Control; Control Theory; SEIR Model; Epideminology
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Former Professors
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Lehrstuhl Wissenschaftliches Rechnen
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Former Professors > Chair Mathematics in Engineering Sciences - Univ.-Prof. Dr. Hans-Josef Pesch
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Lehrstuhl Wissenschaftliches Rechnen > CLehrstuhl Wissenschaftliches Rechnen - Univ.-Prof. Dr. Mario Bebendorf
Result of work at the UBT: Yes
DDC Subjects: 500 Science
500 Science > 510 Mathematics
600 Technology, medicine, applied sciences
Date Deposited: 01 Oct 2015 08:52
Last Modified: 15 Oct 2018 07:39
URI: https://eref.uni-bayreuth.de/id/eprint/20065