Nonlinear dynamics and pattern bifurcations in a model for vegetation stripes in semi-arid environments.

摘要: In many semi-arid environments, vegetation is self-organised into spatial patterns. The most striking examples of this are on gentle slopes, where striped patterns typical, running parallel to the contours. Previously, Klausmeier [1999. Regular and irregular in semiarid vegetation. Science 284, 1826-1828.] has proposed a model for stripes based competition water. Here, we present detailed study patterned solutions full nonlinear model, using numerical bifurcation analysis both pattern odes pdes. We show that exist wide range rainfall levels, particular much lower than have been considered by previous authors. Moreover, with variety different wavelengths stable, mode selection dependent initial conditions. This raises possibility hysteresis, depends history relatively simple way.