A Closed loop Replicated Virus Model with Effective Delay
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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
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References
[2] Tam, J. 1999 Delay Effect in a Model For Virus, IMA J of Mathematics Applied in Medicine and Biology, 16, 29-37.
[3] Murray, J.D. 2002, Mathematical Biology I:An introduction, Springer.
[4] Nowak, M.A. and May, R.M. 1991 Mathematical Biology of HIV Infections: Antigenic Variation and Diversity Theshold. Math. Biosci. 106, 1-21.
[5] 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.
[6] Khan, Q.J.A. and Greenhalgh, D. 1999 Hopf Bifurcation in Epidemic Models With a Time Delay in Vaccination, IMA J of Mathematics Applied in Medicine and Biology, 16, 113-142.
[7] Murray, J.D. 1977 Lectures on Nonlinear-Differential-Equation Models in Biology, Oxford University Press.
[8] Culshaw, R.V. and Ruan, S. 2000. A Delay Differential Equation Model of HIV Infection of CD4+ T-cells. Math. Biosci. 165, 27.
[9] Nelson, P.W., Murray, J.D. and Perelson, A.S., 2000, A Model of HIV-1 Pathogenesis That Includes an Intracellular Delay., Math Biosci. 163, 201.
