Pattern formation for absorbate-induced phase transition model
Kousuke Kuto, Tohru Tsujikawa · Medical Entomology and Zoology · 2007
Hildebrand [3] proposed an adsorbate-induced phase transition model. For this model, Takei et al. [6] showed several stationary patterns by the numerical simulations. We prove the existence of the corresponded patterns by the bifurcation theory from a constant solution. Moreover, the direction of the bifurcation branch near the bifurcation point is obtained. It is a pitchfork type for the stripe and square pattern, transcritical type for the hexagonal one.