Wave train selection behind invasion fronts in reaction-diffusion predator-prey models (Q1957105)

The authors develop a more general wave train selection prediction for a two-component reaction-diffusion predator-prey system that depends on linearizations at the unstable homogeneous steady states involved in the invasion front. This prediction retains accuracy farther away from a Hopf bifurcation, and can also be applied when the predator and prey diffusion coefficients are unequal. They illustrate the selection prediction with its application to three models of predator invasions.