Abstract and Applied Analysis (Jan 2013)
Persistence and Nonpersistence of a Food Chain Model with Stochastic Perturbation
Abstract
We analyze a three species predator-prey chain model with stochastic perturbation. First, we show that this system has a unique positive solution and its pth moment is bounded. Then, we deduce conditions that the system is persistent in time average. After that, conditions for the system going to be extinction in probability are established. At last, numerical simulations are carried out to support our results.