Mathematical Analysis of a General Two-Patch Model of Tuberculosis Disease with Lost Sight Individuals

<table>(a, b) Trajectories of lost sight individuals of (<a href="https://static.hindawi.com/articles/aaa/volume-2014/263780/figures/#EEq1">1</a>) for different initial conditions. The endemic equilibrium exists and is stable when <svg height="16.512501" id="M369" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 46.112499 16.512501" width="46.112499" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.012,-0,0,-.012,11.575,15.75)"><path d="M241 635q53 0 94 -28.5t63.5 -76t33.5 -102.5t11 -116q0 -58 -11 -112.5t-34 -103.5t-63.5 -78.5t-94.5 -29.5t-95 28t-64.5 75t-34.5 102.5t-11 118.5q0 58 11.5 112.5t34.5 103t64.5 78t95.5 29.5zM238 602q-32 0 -55.5 -25t-35.5 -68t-17.5 -91t-5.5 -105
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<g transform="matrix(.017,-0,0,-.017,22.625,11.675)"><path d="M512 230l-437 -233v58l378 199v2l-378 200v58l437 -233v-51z" id="x3E"></path></g><g transform="matrix(.017,-0,0,-.017,37.312,11.675)"><path d="M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z" id="x31"></path></g>
</svg>; the DFE is unstable in this case.</table>

Abstract and Applied Analysis

fig9

Figure 9

Figure 9: Mathematical Analysis of a General Two-Patch Model of Tuberculosis Disease with Lost Sight Individuals 