Stability and Permanence of a Delayed Stage-Structured Predator-Prey System

摘要

In this paper, a predator-prey system is proposed which changes the roles of predator and prey when the prey becomes adult. Through investigating, sufficient conditions have been obtained for boundedness of solutions and permanence of the proposed model. By using bifurcation theory, Hopf bifurcation occurs as the time delay increases through a critical value. At last, numerical simulations are carried out to illustrate the above theoretical analysis.