Autonomous models on a Cayley tree
arXiv:1407.5591 · doi:10.1088/1742-5468/2014/07/P07017
Abstract
The most general single species autonomous reaction-diffusion model on a Cayley tree with nearest-neighbor interactions is introduced. The stationary solutions of such models, as well as their dynamics, are discussed. To study dynamics of the system, directionally-symmetric Green function for evolution equation of average number density is obtained. In some limiting cases the Green function is studied. Some examples are worked out in more detail.
12 pages