A Closed loop Replicated Virus Model with Effective Delay

Abstract

We investigate some closed loops of a replicated virus model, to analyses a mathematical model for virus replication. A bifurcation analysis is performed to determine the ranges of parameter values that lead to a steady state. A Hopf bifurcation occurs of a critical value of the time delay for some ranges of parameters.

Keywords: Steady state, Effective delay, Bifurcation, Free virus, infect

Corresponding author: E-mail: kkkancha@kmitl.ac.th

How to Cite

Citation Format

Kumnungkit*, K. . (2018). A Closed loop Replicated Virus Model with Effective Delay. CURRENT APPLIED SCIENCE AND TECHNOLOGY, 312-317.

References

Nowak, M.A. and Bangham, C.R.M. 1996 Population Dynamics of Immune Responses to Persistent Viruses. Science 272, 74-79.
Tam, J. 1999 Delay Effect in a Model For Virus, IMA J of Mathematics Applied in Medicine and Biology, 16, 29-37.
Murray, J.D. 2002, Mathematical Biology I:An introduction, Springer.
Nowak, M.A. and May, R.M. 1991 Mathematical Biology of HIV Infections: Antigenic Variation and Diversity Theshold. Math. Biosci. 106, 1-21.
Nowak, M.A. and Mclean, A.R. 1991 A Mathematical Model of Vaccination Against HIV to prevent the Development of AIDS, Proc. R. Soc. Lond B 246, 141-146.

Author Information

Kanchana Kumnungkit*

Department of Mathematics and Computer Science, Faculty of Science, King Mongkut’s Institute of Technology LadKrabang, Bangkok, Thailand.

About this Article

Journal

Vol. 6 No. 2a (2006)

Type of Manuscript

Original Research Article

Keywords

Steady state, Effective delay, Bifurcation, Free virus, infect

Published

30 March 2018

A Closed Loop Replicated Virus Model With Effective Delay

Abstract

How to Cite

References

Author Information

Kanchana Kumnungkit*

About this Article

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Type of Manuscript

Keywords

Published

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