Global Stability for a Binge Drinking Model with Two Stages

<table>When <svg height="15.2875" id="M188" style="vertical-align:-3.50804pt" version="1.1" viewbox="0 0 49.825001 15.2875" width="49.825001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>, the alcohol-present equilibrium <svg height="13.75" id="M191" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 18.475 13.75" width="18.475" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,13.688)"><path d="M609 650l-19 -162l-30 -2q2 69 -14 94q-9 18 -28.5 26t-74.5 8h-88q-30 0 -37 -6.5t-12 -36.5l-41 -212h103q48 0 69 5.5t32 19t26 50.5h29l-40 -198h-30q2 58 -11.5 70.5t-85.5 12.5h-99l-30 -167q-17 -87 3 -101q18 -15 111 -15q59 0 89 7t54 27q8 7 15.5 16t16 21.5
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</svg> is globally asymptotically stable.</table>

Discrete Dynamics in Nature and Society

Global Stability for a Binge Drinking Model with Two Stages

Figure 3