Pontryagin’s Maximum Principle for Optimal Control of Stochastic SEIR Models
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-14
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
In this paper, we study the necessary conditions as well as sufficient conditions for optimality of stochastic SEIR model.
The most distinguishing feature, compared with the well-studied SEIR model, is that the model system follows stochastic differential equations (SDEs) driven by Brownian motions.
Hamiltonian function is introduced to derive the necessary conditions.
Using the explicit formulation of adjoint variables, desired necessary conditions for optimal control results are obtained.
We also establish a sufficient condition which is called verification theorem for the stochastic SEIR model.
American Psychological Association (APA)
Xu, Ruimin& Guo, Rongwei. 2020. Pontryagin’s Maximum Principle for Optimal Control of Stochastic SEIR Models. Complexity،Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1142921
Modern Language Association (MLA)
Xu, Ruimin& Guo, Rongwei. Pontryagin’s Maximum Principle for Optimal Control of Stochastic SEIR Models. Complexity No. 2020 (2020), pp.1-5.
https://search.emarefa.net/detail/BIM-1142921
American Medical Association (AMA)
Xu, Ruimin& Guo, Rongwei. Pontryagin’s Maximum Principle for Optimal Control of Stochastic SEIR Models. Complexity. 2020. Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1142921
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142921