Tam, Judy Delay effect in a model for virus replication. (English) Zbl 0914.92012 IMA J. Math. Appl. Med. Biol. 16, No. 1, 29-37 (1999). Summary: As biology becomes more quantitative, it appears that the increasing use of mathematics in this area is inevitable. M. A. Nowak and C. R. M. Bangham, [Science 272, 74-79 (1996)] proposed three mathematical models to explore the relation between antiviral immune responses, virus load, and virus diversity. We investigate the delay effect in a model which considers the interaction between a replicating virus and host cells. We assume that there is a finite time lag between infection of a cell and the emission of viral particles. Even with the introduction of this delay, the steady states of the model – as suggested by Nowak and Bangham – remain stable. The result also gives a condition for how the parameter values should be chosen when analysing clinical data so that the model remains tenable. Cited in 38 Documents MSC: 92C50 Medical applications (general) 34K20 Stability theory of functional-differential equations Keywords:virus replication; stability; delay effect PDFBibTeX XMLCite \textit{J. Tam}, IMA J. Math. Appl. Med. Biol. 16, No. 1, 29--37 (1999; Zbl 0914.92012)