Qualitative and Computational Analysis of a Mathematical Model for Tumor-Immune Interactions

The number of positive steady states (SS) is determined by the signs of the coefficients (<a href="https://static.hindawi.com/articles/jam/volume-2012/475720/figures/#EEq11">3.11</a>) and the signs of the quantities <svg height="10.325" id="M265" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 11.6875 10.325" width="11.6875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑅</tspan>
</text>
</g>
</g>
</svg>, <svg height="10.725" id="M266" style="vertical-align:-0.1254pt" version="1.1" viewbox="0 0 11.375 10.725" width="11.375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.725)">
<g transform="translate(72,-63.42)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑆</tspan>
</text>
</g>
</g>
</svg>, and <svg height="10.325" id="M267" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 11.225 10.325" width="11.225" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑇</tspan>
</text>
</g>
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</svg> from the Sturm sequence. Blank entries correspond to coefficients which may take positive, negative, or zero values.

Journal of Applied Mathematics

tab2

Table 2

Table 2: Qualitative and Computational Analysis of a Mathematical Model for Tumor-Immune Interactions 