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Stability of a Discrete-Time Pathogen Infection Model with Adaptive Immune Response
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-26, 26 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-25
Country of Publication
Egypt
No. of Pages
26
Main Subjects
Abstract EN
This paper studies the global stability of a discrete-time pathogen dynamic model with both cell-mediated and antibody immune responses.
Both latently and actively infected cells are incorporated into the model.
We discretize the continuous-time model by using the nonstandard finite difference (NSFD) method.
We establish that NSFD preserves the nonnegativity and boundedness of the solutions of the model.
We derive four threshold parameters which govern the existence and stability of the steady states.
We establish by using the Lyapunov method, the global stability of the five steady states of the model.
We illustrate our theoretical results by using numerical simulations.
American Psychological Association (APA)
Alshaikh, M. A.& Elaiw, A. M.. 2020. Stability of a Discrete-Time Pathogen Infection Model with Adaptive Immune Response. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-26.
https://search.emarefa.net/detail/BIM-1152794
Modern Language Association (MLA)
Alshaikh, M. A.& Elaiw, A. M.. Stability of a Discrete-Time Pathogen Infection Model with Adaptive Immune Response. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-26.
https://search.emarefa.net/detail/BIM-1152794
American Medical Association (AMA)
Alshaikh, M. A.& Elaiw, A. M.. Stability of a Discrete-Time Pathogen Infection Model with Adaptive Immune Response. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-26.
https://search.emarefa.net/detail/BIM-1152794
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152794