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Lyapunov function and global properties of virus dynamics with CTL immune response. (English) Zbl 1156.92322

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.

MSC:

92C60 Medical epidemiology
34D23 Global stability of solutions to ordinary differential equations
34D20 Stability of solutions to ordinary differential equations
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