Global Properties of a General Latent Pathogen Dynamics Model with Delayed Pathogenic and Cellular Infections
Joint Authors
Almatrafi, A. A.
Hobiny, A. D.
Elaiw, A. M.
Hattaf, Khalid
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-01
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
This paper studies the global dynamics of a general pathogenic infection model with two ways of infections.
The effect of antibody immune response is analyzed.
We incorporate three discrete time delays and both latently infected cells and actively infected cells.
The infection rate and production and clearance/death rates of the cells and pathogens are given by general functions.
We determine two threshold parameters to investigate the global stability of three equilibria.
We use Lyapunov method to establish the global stability.
We support our theoretical results by numerical simulations.
American Psychological Association (APA)
Elaiw, A. M.& Almatrafi, A. A.& Hobiny, A. D.& Hattaf, Khalid. 2019. Global Properties of a General Latent Pathogen Dynamics Model with Delayed Pathogenic and Cellular Infections. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1146682
Modern Language Association (MLA)
Elaiw, A. M.…[et al.]. Global Properties of a General Latent Pathogen Dynamics Model with Delayed Pathogenic and Cellular Infections. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-18.
https://search.emarefa.net/detail/BIM-1146682
American Medical Association (AMA)
Elaiw, A. M.& Almatrafi, A. A.& Hobiny, A. D.& Hattaf, Khalid. Global Properties of a General Latent Pathogen Dynamics Model with Delayed Pathogenic and Cellular Infections. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1146682
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1146682