Nullcline

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Nullclines, sometimes called zero-growth isoclines, are encountered in a system of ordinary differential equations

$x_1'=f_1(x_1, ... x_n)$

$x_2'=f_2(x_1, ... x_n)$

.

$x_n'=f_n(x_1, ... x_n)$

where the $'$ here represents a derivative with respect to another parameter, such as time $t$ . Nullclines are the geometric shape for which $x_j'=0$ for any $j$ . The fixed points of the system are located where all of the nullclines intersect. In a two-dimensional linear system, the nullclines can be represented by two lines on a two-dimensional plot.