Cluster geometry and survival probability in systems driven by reaction-diffusion dynamics
We consider a simple particle model consisting of reproducing individuals moving about in a d-dimensional lattice. The individuals can reproduce either sexually or asexually. Motivated by conservation issues we study the relation between size of refuge and survival probability in the sexual case and find the existence of an optimal size of refuge. Further more, we study the nature of the transition to extinction and also the relation between geometry of clusters and the critical properties of the model.