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A Fractional Order Model for Viral Infection with Cure of Infected Cells and Humoral Immunity
Joint Authors
Yousfi, Noura
Boukhouima, Adnane
Hattaf, Khalid
Source
International Journal of Differential Equations
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-12-02
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this paper, we study the dynamics of a viral infection model formulated by five fractional differential equations (FDEs) to describe the interactions between host cells, virus, and humoral immunity presented by antibodies.
The infection transmission process is modeled by Hattaf-Yousfi functional response which covers several forms of incidence rate existing in the literature.
We first show that the model is mathematically and biologically well-posed.
By constructing suitable Lyapunov functionals, the global stability of equilibria is established and characterized by two threshold parameters.
Finally, some numerical simulations are presented to illustrate our theoretical analysis.
American Psychological Association (APA)
Boukhouima, Adnane& Hattaf, Khalid& Yousfi, Noura. 2018. A Fractional Order Model for Viral Infection with Cure of Infected Cells and Humoral Immunity. International Journal of Differential Equations،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1170730
Modern Language Association (MLA)
Boukhouima, Adnane…[et al.]. A Fractional Order Model for Viral Infection with Cure of Infected Cells and Humoral Immunity. International Journal of Differential Equations No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1170730
American Medical Association (AMA)
Boukhouima, Adnane& Hattaf, Khalid& Yousfi, Noura. A Fractional Order Model for Viral Infection with Cure of Infected Cells and Humoral Immunity. International Journal of Differential Equations. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1170730
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1170730