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.
Cite this work
Researchers should cite this work as follows: