2002-NelsonPerelson-Delay differential equation models of HIV-1 infection

By Patrick W. Nelson, Alan S. Perelson

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Abstract

Nelson, Patrick W. and  Alan S. Perelson. 2002. Mathematical analysis of delay differential equation models of HIV-1 infection.  Mathematical Biosciences. 179: 73–94.

The paper offers a good literature survey of use of delay differential equations in modeling biological phenomena and then moves to modification of a nonlinear system of differential equations for various types of cells in the HIV-1 infection process. A delay model is offered with full stability analysis showing for reasonable delays the stability of the delay system is the same as that of the non-delay system. The authors offer parameter estimation for several patients’ data and the claims of the abstract are justified in the details of the analyses.

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Researchers should cite this work as follows:

  • Patrick W. Nelson; Alan S. Perelson (2015), "2002-NelsonPerelson-Delay differential equation models of HIV-1 infection," https://simiode.org/resources/936.

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