Transient Dynamics of a Food Chain Model with Vigilance in the Biparameter Spaces

Table 2

Measurements of perturbation response [2].

Quantity	Definition	Calculation method
Resilience	Asymptotic proportional decay rate of perturbations:
Reactivity	Maximum possible instantaneous proportional amplification rate of perturbations:
Amplification envelope	Maximum possible amplification at time t:
	Maximum possible amplification:

¹The dominant eigenvalue of A is . ². The dominant eigenvalue of H(A) is . ³The matrix norm can be calculated in Mathematica via “Norm[MatrixExp[A  t]]”.