Hopf bifurcation in a delayed reaction–diffusion–advection equation with ideal free dispersal

Abstract In this paper, we investigate a delay reaction–diffusion–advection model with ideal free dispersal. The stability of positive steady-state solutions and the existence associated Hopf bifurcation are obtained by analyzing principal eigenvalue an elliptic operator. By normal form theory center manifold reduction, direction bifurcating periodic obtained. Moreover, numerical simulations brief discussion presented to illustrate our theoretical results.