Table 4: Stability analysis for the three biological systems. The independent variables in the branch pathway is set at = 0.6 (Case 1), 0.3 (Case 2), and 0.9 (Case 3). The independent variable in the cascade pathway is set at = 0.75 (Case 1), 0.9 (Case 2), and 0.6 (Case 3). The independent variables in the small-scale network are set at (x6, x7, x8) = (1, 0.75, 0.75) for Case 1, (1, 1, 1.25) for Case 2, and (1.25, 1.25, 1.25) for Case 3.

cases
a branch pathway (4-gene)A cascade pathway (3-gene)A small-scale network (5-gene)

stablestablestable

1-1.0599 ±1.7013iyes-0.5543yes-13.0199yes
-7.9502 ± 1.6192i-1.6468-15.0341
-4.6200-26.6061
-16.5117 ± 11.5849i

2 -1.2373±1.9465iyes-0.4818yes-14.9535yes
-9.7292 ± 1.0894i-1.4313-14.9535
-4.0154-29.9070
-20 ± 14.1421i

3 -0.9651 ± 1.5704iyes -0.6581yes-17.3520yes
-7.1134 ± 1.5568i -1.9552 -15.5201
-5.4851-25.7730
-21.9829 ± 15.4717i