Dynamical Analysis of a Delayed Reaction-Diffusion Predator-Prey System

  title={Dynamical Analysis of a Delayed Reaction-Diffusion Predator-Prey System},
  author={Yanuo Zhu and Yongli Cai and Shuling Yan and Weiming Wang},
  journal={Abstract and Applied Analysis},
This work deals with the analysis of a delayed diffusive predator-prey system under Neumann boundary conditions. The dynamics are investigated in terms of the stability of the nonnegative equilibria and the existence of Hopf bifurcation by analyzing the characteristic equations. The direction of Hopf bifurcation and the stability of bifurcating periodic solution are also discussed by employing the normal form theory and the center manifold reduction. Furthermore, we prove that the positive… 

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