Abstract
In this paper, a basic virus dynamics model with feedback controls is considered and analyzed to restrain infected cells. The asymptotic stability of the model is investigated by using the Lyapunov stability theorem and numerical experiments. The obtained results show that the feedback control variables are effective to restrain infected cells in the original virus dynamics model. In particular, we propose two effective strategies for selecting the feedback control variables based on the asymptotic stability of the model with the feedback control variables. A set of numerical experiments is performed to confirm the validity of the theoretical results and the effectiveness of the proposed control strategies.
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