Transitions between patterned states in vegetation models for semiarid ecosystems.

摘要: A feature common to many models of vegetation pattern formation in semiarid ecosystems is a sequence qualitatively different patterned states, "gaps → labyrinth spots," that occurs as parameter representing precipitation decreases. We explore the robustness this "standard" generic setting bifurcation problem on hexagonal lattice, well particular reaction-diffusion model for formation. Specifically, we consider degeneracy equations creates small bubble space which stable small-amplitude states may exist near two Turing bifurcations. Pattern transitions between these points can then be analyzed weakly nonlinear framework. find number transition scenarios besides standard are generically possible, calls into question reliability any or precursor collapse. Additionally, clues lie details model.