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<p>Hello Heinz,</p>
<p>Here is an interactive version (made for my children last
week...) :</p>
<pre style="font-family:Monospaced;font-style:normal;font-size:15.0;">
<span style="color:rgb(100,174,100);font-style:italic;">// Confinement COVID-19 !</span>
<span style="color:rgb(100,174,100);font-style:italic;">// Stephane MOTTELET, UTC</span>
<span style="color:rgb(100,174,100);font-style:italic;">// Tue Mar 24 08:55:03 CET 2020</span>
<span style="color:rgb(100,174,100);font-style:italic;">// </span>
<span style="color:rgb(176,24,19);">function</span> <span style="color:rgb(131,67,16);font-weight:bold;">dydt</span><span style="color:rgb(92,92,92);">=</span><span style="color:rgb(0,0,0);text-decoration:underline;">sir</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(131,67,16);font-weight:bold;">t</span><span style="color:rgb(0,0,0);">, </span><span style="color:rgb(131,67,16);font-weight:bold;">y</span><span style="color:rgb(0,0,0);">, </span><span style="color:rgb(131,67,16);font-weight:bold;">bet</span><span style="color:rgb(0,0,0);">, </span><span style="color:rgb(131,67,16);font-weight:bold;">gam</span><span style="color:rgb(0,0,0);">, </span><span style="color:rgb(131,67,16);font-weight:bold;">N</span><span style="color:rgb(74,85,219);">)</span>
<span style="color:rgb(131,67,16);font-weight:bold;">dydt</span><span style="color:rgb(92,92,92);">=</span><span style="color:rgb(74,85,219);">[</span><span style="color:rgb(92,92,92);">-</span><span style="color:rgb(131,67,16);font-weight:bold;">bet</span><span style="color:rgb(92,92,92);">/</span><span style="color:rgb(131,67,16);font-weight:bold;">N</span><span style="color:rgb(92,92,92);">*</span><span style="color:rgb(131,67,16);font-weight:bold;">y</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">*</span><span style="color:rgb(131,67,16);font-weight:bold;">y</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">2</span><span style="color:rgb(74,85,219);">)</span>
<span style="color:rgb(131,67,16);font-weight:bold;">bet</span><span style="color:rgb(92,92,92);">/</span><span style="color:rgb(131,67,16);font-weight:bold;">N</span><span style="color:rgb(92,92,92);">*</span><span style="color:rgb(131,67,16);font-weight:bold;">y</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">*</span><span style="color:rgb(131,67,16);font-weight:bold;">y</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">2</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">-</span><span style="color:rgb(131,67,16);font-weight:bold;">gam</span><span style="color:rgb(92,92,92);">*</span><span style="color:rgb(131,67,16);font-weight:bold;">y</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">2</span><span style="color:rgb(74,85,219);">)</span>
<span style="color:rgb(131,67,16);font-weight:bold;">gam</span><span style="color:rgb(92,92,92);">*</span><span style="color:rgb(131,67,16);font-weight:bold;">y</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">2</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(74,85,219);">]</span><span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(176,24,19);">endfunction</span>
<span style="color:rgb(176,24,19);">function</span> <span style="color:rgb(0,0,0);text-decoration:underline;">draw</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(131,67,16);font-weight:bold;">bet</span><span style="color:rgb(0,0,0);">, </span><span style="color:rgb(131,67,16);font-weight:bold;">gam</span><span style="color:rgb(74,85,219);">)</span>
<span style="color:rgb(0,0,0);">t</span><span style="color:rgb(92,92,92);">=</span><span style="color:rgb(188,143,143);">0</span><span style="color:rgb(255,170,0);">:</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(255,170,0);">:</span><span style="color:rgb(188,143,143);">360</span><span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(0,0,0);">N</span><span style="color:rgb(92,92,92);">=</span><span style="color:rgb(188,143,143);">6e7</span><span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(160,32,240);">if</span> <span style="color:rgb(50,185,185);">exists</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">gcbo</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(92,92,92);">&</span><span style="color:rgb(92,92,92);">&</span> <span style="color:rgb(50,185,185);">is_handle_valid</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(0,0,0);">gcbo</span><span style="color:rgb(74,85,219);">)</span>
<span style="color:rgb(0,0,0);">sb</span> <span style="color:rgb(92,92,92);">=</span> <span style="color:rgb(0,0,0);">gcbo</span><span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(160,32,240);">if</span> <span style="color:rgb(0,0,0);">sb</span><span style="color:rgb(92,92,92);">.</span><span style="color:rgb(170,170,170);">tag</span><span style="color:rgb(92,92,92);">==</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">beta</span><span style="color:rgb(188,143,143);">"</span>
<span style="color:rgb(131,67,16);font-weight:bold;">bet</span><span style="color:rgb(92,92,92);">=</span><span style="color:rgb(0,0,0);">sb</span><span style="color:rgb(92,92,92);">.</span><span style="color:rgb(170,170,170);">value</span><span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(131,67,16);font-weight:bold;">gam</span><span style="color:rgb(92,92,92);">=</span><span style="color:rgb(0,0,0);">findobj</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">gamma</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">.</span><span style="color:rgb(170,170,170);">value</span>
<span style="color:rgb(160,32,240);">else</span>
<span style="color:rgb(131,67,16);font-weight:bold;">gam</span><span style="color:rgb(92,92,92);">=</span><span style="color:rgb(0,0,0);">sb</span><span style="color:rgb(92,92,92);">.</span><span style="color:rgb(170,170,170);">value</span><span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(131,67,16);font-weight:bold;">bet</span><span style="color:rgb(92,92,92);">=</span><span style="color:rgb(0,0,0);">findobj</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">beta</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">.</span><span style="color:rgb(170,170,170);">value</span>
<span style="color:rgb(160,32,240);">end</span>
<span style="color:rgb(0,0,0);">y</span><span style="color:rgb(92,92,92);">=</span><span style="color:rgb(50,185,185);">ode</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">'</span><span style="color:rgb(188,143,143);">stiff</span><span style="color:rgb(188,143,143);">'</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(74,85,219);">[</span><span style="color:rgb(0,0,0);">N</span><span style="color:rgb(92,92,92);">-</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(0,0,0);">;</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(0,0,0);">;</span><span style="color:rgb(188,143,143);">0</span><span style="color:rgb(74,85,219);">]</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">0</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(0,0,0);">t</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(50,185,185);">list</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(0,0,0);text-decoration:underline;">sir</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(131,67,16);font-weight:bold;">bet</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(131,67,16);font-weight:bold;">gam</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(0,0,0);">N</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(0,0,0);">curves</span> <span style="color:rgb(92,92,92);">=</span> <span style="color:rgb(0,0,0);">findobj</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">curves</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(0,0,0);">curves</span><span style="color:rgb(92,92,92);">.</span><span style="color:rgb(170,170,170);">children</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">.</span><span style="color:rgb(170,170,170);">data</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(255,170,0);">:</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">2</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">=</span><span style="color:rgb(0,0,0);">y</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">3</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">:</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(0,0,0);">curves</span><span style="color:rgb(92,92,92);">.</span><span style="color:rgb(170,170,170);">children</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">2</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">.</span><span style="color:rgb(170,170,170);">data</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(255,170,0);">:</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">2</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">=</span><span style="color:rgb(0,0,0);">y</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">2</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">:</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(0,0,0);">curves</span><span style="color:rgb(92,92,92);">.</span><span style="color:rgb(170,170,170);">children</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">3</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">.</span><span style="color:rgb(170,170,170);">data</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(255,170,0);">:</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">2</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">=</span><span style="color:rgb(0,0,0);">y</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">:</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(160,32,240);">else</span>
<span style="color:rgb(0,0,0);">y</span><span style="color:rgb(92,92,92);">=</span><span style="color:rgb(50,185,185);">ode</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">'</span><span style="color:rgb(188,143,143);">stiff</span><span style="color:rgb(188,143,143);">'</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(74,85,219);">[</span><span style="color:rgb(0,0,0);">N</span><span style="color:rgb(92,92,92);">-</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(0,0,0);">;</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(0,0,0);">;</span><span style="color:rgb(188,143,143);">0</span><span style="color:rgb(74,85,219);">]</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">0</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(0,0,0);">t</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(50,185,185);">list</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(0,0,0);text-decoration:underline;">sir</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(131,67,16);font-weight:bold;">bet</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(131,67,16);font-weight:bold;">gam</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(0,0,0);">N</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(0,0,0);">scf</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">0</span><span style="color:rgb(74,85,219);">)</span>
<span style="color:rgb(0,0,0);">clf</span>
<span style="color:rgb(0,0,0);">plot</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(0,0,0);">t</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(0,0,0);">y</span><span style="color:rgb(74,85,219);">)</span>
<span style="color:rgb(0,0,0);">gce</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">.</span><span style="color:rgb(170,170,170);">tag</span><span style="color:rgb(92,92,92);">=</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">curves</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(0,0,0);">gce</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">.</span><span style="color:rgb(170,170,170);">children</span><span style="color:rgb(92,92,92);">.</span><span style="color:rgb(170,170,170);">thickness</span><span style="color:rgb(92,92,92);">=</span><span style="color:rgb(188,143,143);">2</span><span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(0,0,0);">legend</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">Susceptible</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">Infected</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">Recovered</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(92,92,92);">-</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(74,85,219);">)</span>
<span style="color:rgb(0,0,0);">sb1</span> <span style="color:rgb(92,92,92);">=</span> <span style="color:rgb(50,185,185);">uicontrol</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">style</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">slider</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">...</span>
<span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">units</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">normalized</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">...</span>
<span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">Position</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span> <span style="color:rgb(74,85,219);">[</span><span style="color:rgb(188,143,143);">0.85</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">0.2</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">0.05</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">0.48</span><span style="color:rgb(74,85,219);">]</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">...</span>
<span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">BackgroundColor</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span> <span style="color:rgb(74,85,219);">[</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(74,85,219);">]</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">...</span>
<span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">Callback_Type</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">12</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">...</span>
<span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">sliderstep</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(74,85,219);">[</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(92,92,92);">/</span><span style="color:rgb(188,143,143);">1000</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(92,92,92);">/</span><span style="color:rgb(188,143,143);">10</span><span style="color:rgb(74,85,219);">]</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">...</span>
<span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">min</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">0.15</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">max</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">0.3</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">value</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(131,67,16);font-weight:bold;">bet</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">...</span>
<span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">Callback</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">draw</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">tag</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">beta</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(50,185,185);">uicontrol</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">style</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">text</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">...</span>
<span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">string</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">$\beta$</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">...</span>
<span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">units</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">normalized</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">...</span>
<span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">Position</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span> <span style="color:rgb(74,85,219);">[</span><span style="color:rgb(188,143,143);">0.85</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">0.125</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">0.05</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">0.08</span><span style="color:rgb(74,85,219);">]</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">...</span>
<span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">BackgroundColor</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span> <span style="color:rgb(74,85,219);">[</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(74,85,219);">]</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">...</span>
<span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">HorizontalAlignment</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">center</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(0,0,0);">sb1</span> <span style="color:rgb(92,92,92);">=</span> <span style="color:rgb(50,185,185);">uicontrol</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">style</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">slider</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">...</span>
<span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">units</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">normalized</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">...</span>
<span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">Position</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span> <span style="color:rgb(74,85,219);">[</span><span style="color:rgb(188,143,143);">0.90</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">0.2</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">0.05</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">0.48</span><span style="color:rgb(74,85,219);">]</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">...</span>
<span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">BackgroundColor</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span> <span style="color:rgb(74,85,219);">[</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(74,85,219);">]</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">...</span>
<span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">Callback_Type</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">12</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">...</span>
<span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">sliderstep</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(74,85,219);">[</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(92,92,92);">/</span><span style="color:rgb(188,143,143);">1000</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(92,92,92);">/</span><span style="color:rgb(188,143,143);">10</span><span style="color:rgb(74,85,219);">]</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">...</span>
<span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">min</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">0</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">max</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(92,92,92);">/</span><span style="color:rgb(188,143,143);">15</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">value</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(131,67,16);font-weight:bold;">gam</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">...</span>
<span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">Callback</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">draw</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">tag</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">gamma</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(50,185,185);">uicontrol</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">style</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">text</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">...</span>
<span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">string</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">$\gamma$</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">...</span>
<span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">units</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">normalized</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">...</span>
<span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">Position</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span> <span style="color:rgb(74,85,219);">[</span><span style="color:rgb(188,143,143);">0.9</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">0.125</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">0.05</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">0.08</span><span style="color:rgb(74,85,219);">]</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">...</span>
<span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">BackgroundColor</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span> <span style="color:rgb(74,85,219);">[</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(74,85,219);">]</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(255,170,0);">...</span>
<span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">HorizontalAlignment</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(188,143,143);">center</span><span style="color:rgb(188,143,143);">"</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(160,32,240);">end</span>
<span style="color:rgb(160,32,240);">end</span>
<span style="color:rgb(0,0,0);">clf</span>
<span style="color:rgb(0,0,0);text-decoration:underline;">draw</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">0.3</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(92,92,92);">/</span><span style="color:rgb(188,143,143);">15</span><span style="color:rgb(74,85,219);">)
</span></pre>
<div class="moz-cite-prefix">Le 30/03/2020 à 02:14, Heinz Nabielek a
écrit :<br>
</div>
<blockquote type="cite"
cite="mid:61797769-8CEB-4391-8C95-A5C56438B43B@me.com">
<pre class="moz-quote-pre" wrap="">Colleagues:
is there an straightforward Scilab approach for solving the three coupled nonlinear differential equations of first order given by the Standard Model of Epidemics?
S= number Susceptible: S'=-aSI
I= number Infected: I'=aSI - bI
R= number Recovered: R'=bI
whereby 'a' is the transmission coefficient, 'b' the recovery factor (after Reed-Frost 1928).
Initial values for S, I, R are available.
Thank you
Heinz
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</blockquote>
<pre class="moz-signature" cols="72">--
Stéphane Mottelet
Ingénieur de recherche
EA 4297 Transformations Intégrées de la Matière Renouvelable
Département Génie des Procédés Industriels
Sorbonne Universités - Université de Technologie de Compiègne
CS 60319, 60203 Compiègne cedex
Tel : +33(0)344234688
<a class="moz-txt-link-freetext" href="http://www.utc.fr/~mottelet">http://www.utc.fr/~mottelet</a>
</pre>
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