Global Stability for a Binge Drinking Model with Two Stages

<table>When <svg height="15.2875" id="M184" 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-free equilibrium <svg height="15.4" id="M187" style="vertical-align:-3.3907pt" version="1.1" viewbox="0 0 17.200001 15.4" width="17.200001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.012,-0,0,-.012,10.8,15.187)"><path d="M241 635q53 0 94 -28.5t63.5 -76t33.5 -102.5t11 -116q0 -58 -11 -112.5t-34 -103.5t-63.5 -78.5t-94.5 -29.5t-95 28t-64.5 75t-34.5 102.5t-11 118.5q0 58 11.5 112.5t34.5 103t64.5 78t95.5 29.5zM238 602q-32 0 -55.5 -25t-35.5 -68t-17.5 -91t-5.5 -105
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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 2