Stability and Hopf bifurcation in a delayed predator-prey system with Monod-Haldane functional response and diffusion

摘要

In this paper, a predator-prey model with Monod-Haldane type functional response and diffusion is considered. The local stability of the positive equilibrium and the existence of Hopf bifurcation are studied by analysing the roots of the characteristic equation of the corresponding lineared system. Some numerical simulations are presented to verify the theoreial results.