The bifurcation problem of a Degn-Harrison reaction-diffusion system was studied under homogeneous Neumann boundary conditions.Firstly,the direction and stability of Hopf bifurcation of diffusion system were determined by the normal form theory and the central manifold theorem.Secondly,taking the dif-fusion coefficient d1 as the discussion parameter,the existence of steady-state bifurcation at single and double eigenvalues of the diffusion system was given by applying bifurcation theory.The results indicate that diffusion effects can influence the dynamic behavior of the reaction system and that if oxygen diffuses rapidly or nutrients diffuse slowly,the system may exhibit periodic oscillations.
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