Continuation of Turing pattern beyond the Turing domain

Turing instability of coexistence homogeneous steady-state for reaction-diffusion systems in population biology often leads to stationary patterns. However, such heterogeneous solutions depend on the stability of non-constant steady-states associated with the corresponding boundary value problem. This talk's main objective is to discuss the existence of stationary Turing patterns beyond the Turing instability domain and the detection of their bifurcations through the numerical continuation technique. The illustration will rely on a spatiotemporal prey-predator model with saturated cooperative hunting among the predators.