Control strategy design for the anti-HBV mathematical model

In this study, an anti-HBV mathematical model is considered and its control strategy of the drug treatment is designed. Based on the Lyapunov theory, this study derives three main theorems to propose three different control strategies, respectively, for drug treatments $mlpar trpar $m(t) and $nlpar trpar $n(t), such that all states of the anti-HBV model can finally converge to the infection-free equilibrium point $E_1$E1 asymptotically. Especially, the designed drug treatment $mlpar trpar $m(t) or $nlpar trpar $n(t) is not a fixed value, but it is time-varying and dependent on states. In Theorem 1, the single drug treatment $mlpar trpar $m(t) without $nlpar trpar $n(t) is synthesised. Theorem 2 considers the single drug treatment $nlpar trpar $n(t) without $mlpar trpar $m(t). In Theorem 3, the combination therapy of $mlpar trpar $m(
Source: IET Systems Biology - Category: Biology Source Type: research