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

Mathematics

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