Growth Morphology


red ballRelevant parameters have macroscopic manifestations, even away from the extinction threshold:

yellow ball The parameter  λ indicates the dependence of growth velocity on slope.

While isotropic growth leads to   λ=vo0, other growth rules (as in earlier model) lead to  λ< 0

   

yellow ball The evolution of the active fraction   may also affected by slope

(Neutral) sector boundaries should generically drift on a sloped substrate

   

The extinction point can itself depend on slope or curvature

 

yellow ball The shape of the front is modified if one species expands more than the other:

                

Two different morphologies depending on the sign of  λ :