Stability and bifurcation analysis of reaction–diffusion neural networks with delays

In this paper, stability and Hopf bifurcation of reaction–diffusion neural networks with delays is considered, where the sum of the delays can be regarded as a bifurcation parameter. Some sufficient conditions are provided for checking stability and Hopf bifurcation. The particular attention is focused on the change of the stability as the bifurcation parameter τ increased. The computer simulations are provided to verify the efficiency of the theoretical results.