Global Stability of a Computer Virus Propagation Model with Two Kinds of Generic Nonlinear Probabilities

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="735327.fig.002a" src="https://static.hindawi.com/articles/aaa/volume-2014/735327/figures/735327.fig.002a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Time plots of <svg height="13.45" id="M84" style="vertical-align:-1.76814pt" version="1.1" viewbox="0 0 22.424999 13.45" width="22.424999" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.4)"><path d="M457 488l-30 -3q-17 148 -131 148q-53 0 -84.5 -34.5t-31.5 -82.5q0 -42 25.5 -72t74.5 -62l33 -22q63 -42 95 -85t32 -102q0 -84 -67 -137t-163 -53q-58 0 -113 22t-70 43l-4 152l27 4q4 -32 15 -62.5t31 -59.5t53.5 -47t76.5 -18q56 0 92 35t36 96q0 39 -25 70t-78 68
l-31 22q-32 23 -53.5 41.5t-45 57t-23.5 77.5q0 82 58 132.5t156 50.5q46 0 101 -17l18.5 -6t17 -6t8.5 -3q-4 -55 0 -147z" id="x1D446"></path></g><g transform="matrix(.017,-0,0,-.017,8.222,11.4)"><path d="M95 130q31 0 61 -30t30 -78q0 -53 -38 -87.5t-93 -51.5l-11 29q77 31 77 85q0 26 -17.5 43t-44.5 24q-4 0 -8.5 6.5t-4.5 17.5q0 18 15 30t34 12z" id="x2C"></path></g><g transform="matrix(.017,-0,0,-.017,14.919,11.4)"><path d="M414 650l-6 -28q-63 -4 -78.5 -17.5t-27.5 -71.5l-77 -416q-11 -58 0.5 -71.5t77.5 -17.5l-5 -28h-275l8 28q63 4 79.5 18.5t27.5 70.5l80 416q11 57 -2 71t-81 18l6 28h273z" id="x1D43C"></path></g>
</svg>, and <svg height="11.3125" id="M85" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 11.075 11.3125" width="11.075" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.113)"><path d="M627 18l-10 -26q-79 6 -116 27t-69 76q-41 71 -71 138q-13 29 -27.5 39t-42.5 10h-46l-27 -145q-13 -74 -2.5 -88.5t78.5 -20.5l-6 -28h-271l5 28q66 6 82.5 21.5t30.5 87.5l71 387q12 66 2 78.5t-77 19.5l8 28h233q102 0 147 -29q65 -43 65 -129q0 -69 -45.5 -117
t-115.5 -72q40 -86 66 -133q39 -68 65 -101q28 -37 73 -51zM491 483q0 67 -33.5 101t-91.5 34q-35 0 -51 -10q-13 -8 -20 -48l-45 -245h49q71 0 113 28q79 52 79 140z" id="x1D445"></path></g>
</svg></td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="735327.fig.002b" src="https://static.hindawi.com/articles/aaa/volume-2014/735327/figures/735327.fig.002b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>Phase portrait for system  (<a href="https://static.hindawi.com/articles/aaa/volume-2014/735327/figures/#EEq1">1</a>)</td></tr></table></td></tr></table>

<table>An illustration of the dynamics of system (<a href="https://static.hindawi.com/articles/aaa/volume-2014/735327/figures/#EEq1">1</a>) given in Example <a href="https://static.hindawi.com/articles/aaa/volume-2014/735327/figures/#ex1">4</a>.</table>

Abstract and Applied Analysis

fig2

Figure 2

Figure 2: Global Stability of a Computer Virus Propagation Model with Two Kinds of Generic Nonlinear Probabilities 