Table 3.
Comparison of the different linearization options (I, II and IV)
| I. Absolute deviation | II. Relative deviation | IV. Lotka-Volterra | |
| a10 | 0.0000 | 0.0000 | 14.4748 |
| a11 | -14.3647 | -14.3647 | -18.9581 |
| a12 | -0.1466 | -0.1466 | -0.6836 |
| a13 | 5.3878 | 7.3414 | 7.3367 |
| a14 | -0.1712 | -0.2165 | -0.4694 |
| a15 | -5.6702 | -7.1723 | -7.4981 |
| a20 | 0.0000 | 0.0000 | 0.0144 |
| a21 | 14.6119 | 14.6119 | 19.8910 |
| a22 | -14.6540 | -14.6540 | -19.9277 |
| a23 | -0.0006 | -0.0009 | -0.0001 |
| a24 | 0.0390 | 0.0494 | 0.0472 |
| a25 | -0.0245 | -0.0309 | -0.0335 |
| a30 | 0.0000 | 0.0000 | 26.4020 |
| a31 | -3.2058 | -2.3527 | 2.8725 |
| a32 | 1.9062 | 1.3989 | -1.7989 |
| a33 | -27.9204 | -27.9204 | -26.6164 |
| a34 | 1.8842 | 1.7491 | -1.5871 |
| a35 | -1.0724 | -0.9955 | 0.9692 |
| a40 | 0.0000 | 0.0000 | 8.0270 |
| a41 | 2.6365 | 2.0843 | 6.3364 |
| a42 | -1.3820 | -1.0925 | -4.1579 |
| a43 | 17.6654 | 19.0295 | 19.0005 |
| a44 | -20.2112 | -20.2112 | -23.1319 |
| a45 | -8.3594 | -8.3594 | -7.7047 |
| a50 | 0.0000 | 0.0000 | 0.0869 |
| a51 | -0.5092 | -0.4026 | -0.6617 |
| a52 | 0.1751 | 0.1384 | 0.4441 |
| a53 | -0.0055 | -0.0059 | -0.0003 |
| a54 | 18.8987 | 18.8987 | 20.2939 |
| a55 | -18.7852 | -18.7852 | -20.2152 |
Estimated coefficients for three of the linearization approaches: absolute deviation from steady state (left column), relative deviation from steady state (center column) and Lotka-Volterra linearization (right column). The dataset consisted of 401 data points in the interval [0,4] and resulted from a simulation in which X3 was perturbed at t = 0 to a value 5% above its steady-state value.