Transient Dynamics Analysis of a Predator-Prey System with Square Root Functional Responses and Random Perturbation

In this paper, we study the asymptotic and transient dynamics of a predator–prey model with square root functional responses random perturbation. Firstly, mean stability matrix is obtained from theory stochastic systems, three indexes (root-mean-square resilience, root-mean-square reactivity amplification envelope) ecosystem response to disturbances are calculated. We find that: (1) no matter which population disturbed, increasing intensity disturbance improves ability system leaves steady state thus decreases stability. The envelope rises intensity, (2) more sensitive predator than prey, (3) ρmax tmax important indicators, represent time maximum by disturbance. These findings helpful for managers take corresponding management measures reduce disturbances, especially predators, thereby avoiding possible change structure functions ecosystem.