Hopf bifurcation and stability in predator–prey model with a stage-structure for prey

摘要

A predator–prey system with B–D functional response and stage-structure for prey is presented. In the (d-τ) plane, the regions of stability and Hopf bifurcation are found by analyzing the associated characteristic transcendental equation. Further, global stability of equilibria are studied by using comparison theorem. Some numerical simulations are also given to illustrate our results.