Dynamic Modeling and Analysis of  the Email Virus Propagation

<table>The combined influence of parameters on <svg height="10.325" id="M385" 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="10.325" id="M386" 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> is plotted as a function of <svg height="9.875" id="M387" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 7.7624998 9.875" width="7.7624998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑝</tspan>
</text>
</g>
</g>
</svg> and <svg height="10.7375" id="M388" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 7.9875002 10.7375" width="7.9875002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.7375)">
<g transform="translate(72,-63.41)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝛿</tspan>
</text>
</g>
</g>
</svg>. Here, <svg height="11.0375" id="M389" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 35.799999 11.0375" width="35.799999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.0375)">
<g transform="translate(72,-63.17)">
<text transform="matrix(1,0,0,-1,-71.95,63.4)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑘</tspan>
<tspan style="font-size: 12.50px; " x="10.239957" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.280346" y="0">6</tspan>
</text>
</g>
</g>
</svg>, <svg height="10.85" id="M390" style="vertical-align:-0.1254pt" version="1.1" viewbox="0 0 35.174999 10.85" width="35.174999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.85)">
<g transform="translate(72,-63.32)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑎</tspan>
<tspan style="font-size: 12.50px; " x="9.7398367" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="21.780226" y="0">1</tspan>
</text>
</g>
</g>
</svg>, <svg height="14.9" id="M391" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 52.325001 14.9" width="52.325001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.9)">
<g transform="translate(72,-60.08)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑝</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.84,60.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑜</tspan>
</text>
<text transform="matrix(1,0,0,-1,-57.86,63.35)">
<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">5</tspan>
</text>
</g>
</g>
</svg>, <svg height="11.1" id="M392" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 55.174999 11.1" width="55.174999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.1)">
<g transform="translate(72,-63.12)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑑</tspan>
<tspan style="font-size: 12.50px; " x="10.114927" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.155315" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="28.406816" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="31.532566" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="37.784065" y="0">5</tspan>
</text>
</g>
</g>
</svg>.</table>

Discrete Dynamics in Nature and Society

Dynamic Modeling and Analysis of the Email Virus Propagation

Figure 7