Internal-Evolution Driven Growth in Creation-Annihilation Cyclic Games

In this paper, the domain growth process in a novel kind of cyclic game is investigated by similation method. Different with the classical cyclic games, this process is called ”creation-annihilation process”, in which is just like the autocatalysis system. The results of numerical simulations show that the domain growth in such cyclic games with four or five states has a special feature: the growing domain usually has a stable boundary, and the growth is driven by the internal-evolution of the domain. Considering with the widespread of the cyclic autocatalysis in organism activities, such internal-evolution driven growth could be universal in many organism systems.