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Global Analysis of a Virus Dynamics Model with General Incidence Function and Cure Rate
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-30
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A virus dynamics model with logistic function, general incidence function, and cure rate is considered.
By carrying out mathematical analysis, we show that the infection-free equilibrium is globally asymptotically stable if the basic reproduction number ℛ 0 ≤ 1 .
If ℛ 0 > 1 , then the infection equilibrium is globally asymptotically stable under some assumptions.
Furthermore, we also obtain the conditions for which the model exists an orbitally asymptotically stable periodic solution.
Examples are provided to support our analytical conclusions.
American Psychological Association (APA)
Yang, Yu. 2014. Global Analysis of a Virus Dynamics Model with General Incidence Function and Cure Rate. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014661
Modern Language Association (MLA)
Yang, Yu. Global Analysis of a Virus Dynamics Model with General Incidence Function and Cure Rate. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1014661
American Medical Association (AMA)
Yang, Yu. Global Analysis of a Virus Dynamics Model with General Incidence Function and Cure Rate. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014661
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014661