Stability of pathogen dynamics models with viral and cellular infections and immune impairment
Volume 11, Issue 4, pp 456--468
http://dx.doi.org/10.22436/jnsa.011.04.02
Publication Date: March 10, 2018
Submission Date: October 13, 2017
Revision Date: October 30, 2017
Accteptance Date: December 26, 2017
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Authors
A. M. Elaiw
- Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia.
A. A. Raezah
- Department of Mathematics, Faculty of Science, King Khalid University, P. O. Box 25145, Abha 61466, Saudi Arabia.
B. S. Alofi
- Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia.
Abstract
We study the global stability analysis of pathogen infection models with
immune impairment. Both pathogen-to-susceptible and infected-to-susceptible
transmissions have been considered. We drive the basic reproduction
parameter \(\mathcal{R}_{0}\), which determines the global dynamics of
models. Using the method of Lyapunov function, we established the global
stability of the steady states of the models. Numerical simulations are used
to confirm the theoretical results.
Share and Cite
ISRP Style
A. M. Elaiw, A. A. Raezah, B. S. Alofi, Stability of pathogen dynamics models with viral and cellular infections and immune impairment, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 4, 456--468
AMA Style
Elaiw A. M., Raezah A. A., Alofi B. S., Stability of pathogen dynamics models with viral and cellular infections and immune impairment. J. Nonlinear Sci. Appl. (2018); 11(4):456--468
Chicago/Turabian Style
Elaiw, A. M., Raezah, A. A., Alofi, B. S.. "Stability of pathogen dynamics models with viral and cellular infections and immune impairment." Journal of Nonlinear Sciences and Applications, 11, no. 4 (2018): 456--468
Keywords
- Global stability
- pathogen infection
- immune impairment transfer
- Lyapunov function
- cell-to-cell transmission
MSC
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