Global stability and backward bifurcation of a general viral infection model with virus-driven proliferation of target cells. (English) Zbl 1327.92066
Summary: In this paper, a general viral model with virus-driven proliferation of target cells is studied. Global stability results are established by employing the Lyapunov method and a geometric approach developed by Y. Li and J. S. Muldowney [J. Differ. Equations 106, No. 1, 27–39 (1993; Zbl 0786.34033)]. It is shown that under certain conditions, the model exhibits a global threshold dynamics, while if these conditions are not met, then backward bifurcation and bistability are possible. An example is presented to provide some insights on how the virus-driven proliferation of target cells influences the virus dynamics and the drug therapy strategies.
MSC:
| 92D30 | Epidemiology |
| 34D23 | Global stability of solutions to ordinary differential equations |
| 34D20 | Stability of solutions to ordinary differential equations |
Citations:
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