The Threshold of a Stochastic SIRS Model with Vertical Transmission and Saturated Incidence

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ascent="3473" descent="-2876" horiz-adv-x="346" vert-adv-y="346"></glyph.data></g></svg> for the corresponding deterministic system (<a href="https://static.hindawi.com/articles/ddns/volume-2017/5620301/figures/#EEq1.2">2</a>) and stochastic system (<a href="https://static.hindawi.com/articles/ddns/volume-2017/5620301/figures/#EEq1.4">4</a>) with initial value <svg height="11.5564pt" id="M187" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 166.01 11.5564" width="166.01pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z" id="g113-41"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="346" vert-adv-y="346"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,4.498,0)"><path d="M449 634C442 637 425 643 405 650C376 660 341 666 307 666C181 666 98 590 98 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Discrete Dynamics in Nature and Society

fig3

Figure 3

Figure 3: The Threshold of a Stochastic SIRS Model with Vertical Transmission and Saturated Incidence 