Wang, Xia; Tao, Youde Lyapunov function and global properties of virus dynamics with CTL immune response. (English) Zbl 1156.92322 Int. J. Biomath. 1, No. 4, 443-448 (2008). Summary: The stability of an infectious disease model with CTL imrnune response in vivo is considered. Explicit Lyapunov functions for our dynamic model with CTL immune response with nonlinear incidence of the form \(\beta V^qT^p\) for the case \(q \leq 1\) are introduced, and global properties of the model are established. Cited in 18 Documents MSC: 92C60 Medical epidemiology 34D23 Global stability of solutions to ordinary differential equations 34D20 Stability of solutions to ordinary differential equations Keywords:global properties; Lyapunov function; CTL immune response; virus dynamics PDFBibTeX XMLCite \textit{X. Wang} and \textit{Y. Tao}, Int. J. Biomath. 1, No. 4, 443--448 (2008; Zbl 1156.92322) Full Text: DOI References: [1] Kajiwara T., Discrete Contin. Dynam. Syst. B 4 pp 615– [2] DOI: 10.1006/tpbi.1997.1334 · Zbl 0890.92015 [3] DOI: 10.1126/science.272.5258.74 [4] DOI: 10.1007/BF00277162 · Zbl 0621.92014 [5] Lyapunov A. M., The General Problem of the Stability of Motion (1992) · Zbl 0786.70001 [6] Korobeinikov A., Math. Biosci. 1 pp 57– [7] DOI: 10.1016/j.bulm.2004.02.001 · Zbl 1334.92409 [8] DOI: 10.1016/S0893-9659(02)00069-1 · Zbl 1022.34044 [9] Wang X., Adv. Complex Syst. 4 pp 1– This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.