Stability and Hopf Bifurcation Analysis on a Partial Dependent Predator-prey System with Discrete and Distributed Delays

摘要

In this paper, a partial dependent prey-predator model with discrete and distributed delays is studied by using the theory of functional differential equation and Hassard's method, the conditions on which positive equilibrium exists and Hopf bifurcation occurs are given, finally, numerical simulations are also included.