Stability study of virus replication model
Volume 26, Issue 3, pp 196--209
http://dx.doi.org/10.22436/jmcs.026.03.01
Publication Date: November 06, 2021
Submission Date: June 01, 2021
Revision Date: August 13, 2021
Accteptance Date: September 17, 2021
Authors
Q. J. A. Khan
- Department of Mathematics, College of Science, Sultan Qaboos University, Muscat, Sultanate of Oman.
E. Balakrishnan
- Department of Mathematics, College of Science, Sultan Qaboos University, Muscat, Sultanate of Oman.
N. K. Al Sinani
- Department of Mathematics, College of Science, Sultan Qaboos University, Muscat, Sultanate of Oman.
Abstract
An HIV infection model with time delay in which uninfected cells become infected cells is analysed. We studied conditions under which steady states will be asymptotically stable. We also examined that for endemically infected equilibrium a critical value of time delay may occur. The steady state will be asymptotically stable when delay is less than a critical value. Else the uninfected cells, infected cells, free virus, and CTLs may undergo cyclic oscillations. We estimate the delay length to maintain stability. Numerical simulations are done to aid mathematical findings.
Share and Cite
ISRP Style
Q. J. A. Khan, E. Balakrishnan, N. K. Al Sinani, Stability study of virus replication model, Journal of Mathematics and Computer Science, 26 (2022), no. 3, 196--209
AMA Style
Khan Q. J. A., Balakrishnan E., Al Sinani N. K., Stability study of virus replication model. J Math Comput SCI-JM. (2022); 26(3):196--209
Chicago/Turabian Style
Khan, Q. J. A., Balakrishnan, E., Al Sinani, N. K.. "Stability study of virus replication model." Journal of Mathematics and Computer Science, 26, no. 3 (2022): 196--209
Keywords
- Stability
- bifurcation
- virus
- time-delay
MSC
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