Spatiotemporal dynamics in a diffusive ratio-dependent predator‐prey model near a Hopf‐Turing bifurcation point

Spatiotemporal dynamics in a ratio‐dependent predator–prey model with diffusion is studied by analytical methods. Normal forms associated with codimension‐two Hopf–Turing bifurcation are derived, which can be used to understand and classify the spatiotemporal dynamics of the model for values of parameters close to the Hopf–Turing bifurcation point. In the vicinity of this degenerate point, a wealth of complex spatiotemporal dynamics are observed. Our theoretical results are confirmed by numerical simulations.