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Global stability and backward bifurcation of a general viral infection model with virus-driven proliferation of target cells

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  • 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 Li and Muldowney. 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.
    Mathematics Subject Classification: Primary: 92B05, 34D23; Secondary: 34D20.


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