Stability study of virus replication model

Volume 26, Issue 3, pp 196--209
Publication Date: November 06, 2021 Submission Date: June 01, 2021 Revision Date: August 13, 2021 Accteptance Date: September 17, 2021
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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.

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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

• Stability
• bifurcation
• virus
• time-delay

•  34C23
•  34D20
•  92C60

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