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In this paper, we consider global stability for a heroin model withtwo distributed delays. The basic reproduction number of the heroinspread is obtained, which completely determines the stability of theequilibria. Using the direct Lyapunov method with Volterra typeLyapunov function, we show that the drug use-free equilibrium isglobally asymptotically stable if the basic reproduction number isless than one, and the unique drug spread equilibrium is globallyasymptotically stable if the basic reproduction number is greaterthan one.
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Fang et al. (2014) studied this question.
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