Dynamic Properties of a Differential-Algebraic Biological Economic System

<table>When <svg height="11.125" id="M174" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 47.950001 11.125" width="47.950001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,10.862)"><use xlink:href="#x1D70F"></use></g><g transform="matrix(.017,-0,0,-.017,12.982,10.862)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,27.685,10.862)"><use xlink:href="#x31"></use></g><g transform="matrix(.017,-0,0,-.017,35.845,10.862)"><use xlink:href="#x2E"></use></g><g transform="matrix(.017,-0,0,-.017,39.721,10.862)"><path d="M285 378v-2q65 -13 102 -54.5t37 -97.5q0 -57 -30.5 -104.5t-74 -75t-85.5 -42t-72 -14.5q-31 0 -59.5 11t-40.5 23q-19 18 -16 36q1 16 23 33q13 10 24 0q58 -51 124 -51q55 0 88 40t33 112q0 64 -39 96.5t-88 32.5q-29 0 -64 -11l-6 29q77 25 118 57.5t41 84.5
q0 45 -26.5 69.5t-68.5 24.5q-67 0 -120 -79l-20 20l43 63q51 56 127 56h1q66 0 107 -37t41 -95q0 -42 -31 -71q-22 -23 -68 -54z" id="x33"></path></g>
</svg>, the positive equilibrium point <svg height="15.4" id="M175" style="vertical-align:-3.39066pt" version="1.1" viewbox="0 0 18 15.4" width="18" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.112)"><use xlink:href="#x1D44C"></use></g>
<g transform="matrix(.012,-0,0,-.012,11.6,15.187)"><use xlink:href="#x30"></use></g>
</svg> is stable.</table>

Journal of Applied Mathematics

fig3

Figure 3

Figure 3: Dynamic Properties of a Differential-Algebraic Biological Economic System 