Optimal and Nonlinear Dynamic Countermeasure under a Node-Level Model with Nonlinear Infection Rate
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-06-12
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
This paper mainly addresses the issue of how to effectively inhibit viral spread by means of dynamic countermeasure.
To this end, a controlled node-level model with nonlinear infection and countermeasure rates is established.
On this basis, an optimal control problem capturing the dynamic countermeasure is proposed and analyzed.
Specifically, the existence of an optimal dynamic countermeasure scheme and the corresponding optimality system are shown theoretically.
Finally, some numerical examples are given to illustrate the main results, from which it is found that (1) the proposed optimal strategy can achieve a low level of infections at a low cost and (2) adjusting nonlinear infection and countermeasure rates and tradeoff factor can be conductive to the containment of virus propagation with less cost.
American Psychological Association (APA)
Zhang, Xulong& Gan, Chenquan. 2017. Optimal and Nonlinear Dynamic Countermeasure under a Node-Level Model with Nonlinear Infection Rate. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-16.
https://search.emarefa.net/detail/BIM-1151257
Modern Language Association (MLA)
Zhang, Xulong& Gan, Chenquan. Optimal and Nonlinear Dynamic Countermeasure under a Node-Level Model with Nonlinear Infection Rate. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-16.
https://search.emarefa.net/detail/BIM-1151257
American Medical Association (AMA)
Zhang, Xulong& Gan, Chenquan. Optimal and Nonlinear Dynamic Countermeasure under a Node-Level Model with Nonlinear Infection Rate. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-16.
https://search.emarefa.net/detail/BIM-1151257
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151257