Spatiotemporal dynamics in a diffusive ratio-dependent predatorprey model near a HopfTuring bifurcation point
Spatiotemporal dynamics in a ratio-dependent predatorprey model with diffusion is studied by analytical methods. Normal forms associated with codimension-two HopfTuring bifurcation are derived, which can be used to understand and classify the spatiotemporal dynamics of the model for values of parameters close to the HopfTuring 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.
normal form pattern formation dynamical classification steady state periodic solution