Survival Analysis of a Nonautonomous Logistic Model with Stochastic Perturbation

<table>Global asymptotical stability of model (<a href="https://static-preview.hindawi.com/articles/jam/volume-2012/692742/figures/#EEq1.1">1.1</a>), step size <svg height="10.9125" id="M334" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 70.849998 10.9125" width="70.849998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
<g transform="translate(72,-63.27)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">Δ</tspan>
<tspan style="font-size: 12.50px; " x="9.0271664" y="0">𝑡</tspan>
<tspan style="font-size: 12.50px; " x="16.403936" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="28.444324" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="34.695824" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="37.821575" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="44.073074" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="50.324574" y="0">1</tspan>
</text>
</g>
</g>
</svg>  and <svg height="13.6375" id="M335" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 65.862503 13.6375" width="65.862503" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.6375)">
<g transform="translate(72,-61.09)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑥</tspan>
<tspan style="font-size: 12.50px; " x="6.8766499" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="11.040149" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="17.291649" y="0">)</tspan>
<tspan style="font-size: 12.50px; " x="24.91848" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="36.958866" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="43.210369" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="46.336117" y="0">5</tspan>
</text>
</g>
</g>
</svg>.</table>

Journal of Applied Mathematics

fig6

Figure 6

Figure 6: Survival Analysis of a Nonautonomous Logistic Model with Stochastic Perturbation 