Optimal Control of the Lost to Follow Up in a Tuberculosis Model

<table>Variation of the basic reproduction ratio without control as a function of <svg height="13.425" id="M217" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 8.8500004 13.425" width="8.8500004" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.425)">
<g transform="translate(72,-61.26)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝛽</tspan>
</text>
</g>
</g>
</svg>, with <svg height="13.55" id="M218" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 72.574997 13.55" width="72.574997" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.55)">
<g transform="translate(72,-61.16)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜙</tspan>
<tspan style="font-size: 12.50px; " x="11.527766" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="23.568155" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="29.819654" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="32.945404" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="39.196903" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="45.448406" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="51.699905" y="0">2</tspan>
</text>
</g>
</g>
</svg> and <svg height="14.725" id="M219" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 77.050003 14.725" width="77.050003" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.725)">
<g transform="translate(72,-60.22)">
<text transform="matrix(1,0,0,-1,-71.95,63.4)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑘</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.17,60.27)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
</text>
<text transform="matrix(1,0,0,-1,-56.83,63.4)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.040389" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="18.291889" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="21.417639" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="27.66914" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="33.920639" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="40.172138" y="0">6</tspan>
</text>
</g>
</g>
</svg>.</table>

Computational and Mathematical Methods in Medicine

Optimal Control of the Lost to Follow Up in a Tuberculosis Model

Figure 3