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Global Dynamics and Optimal Control of a Viral Infection Model with Generic Nonlinear Infection Rate
Joint Authors
Yang, Maobin
Zhang, Zufan
Zhang, Chunming
Gan, Chenquan
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-02-13
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper is devoted to exploring the combined impact of a generic nonlinear infection rate and infected removable storage media on viral spread.
For that purpose, a novel dynamical model with an external compartment is proposed, and the explanations of the main model assumptions (especially the generic nonlinear infection rate) are also examined.
The existence and global stability of the unique equilibrium of the model are fully investigated, from which it can be seen that computer virus would persist.
On this basis, a next-best approach to controlling the level of infected computers is suggested, and the theoretical analysis of optimal control of the model is also performed.
Additionally, some numerical examples are given to illustrate the main results.
American Psychological Association (APA)
Gan, Chenquan& Yang, Maobin& Zhang, Zufan& Zhang, Chunming. 2017. Global Dynamics and Optimal Control of a Viral Infection Model with Generic Nonlinear Infection Rate. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1151735
Modern Language Association (MLA)
Gan, Chenquan…[et al.]. Global Dynamics and Optimal Control of a Viral Infection Model with Generic Nonlinear Infection Rate. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1151735
American Medical Association (AMA)
Gan, Chenquan& Yang, Maobin& Zhang, Zufan& Zhang, Chunming. Global Dynamics and Optimal Control of a Viral Infection Model with Generic Nonlinear Infection Rate. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1151735
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151735