Spiral waves emergence in a cyclic predator-prey model

Abstract

Based on a cyclic predator-prey model of three species, spiral waves on global level of the system are obtained. It is found that the predation intensity greatly affects on the behaviors of spiral waves. The wavelength of spiral waves alter with the mobility in the form of λ ∼ D θ. Values of θ are determined by predation rates between species. It indicates the behaviors of spiral waves varying with mobility are universal at the same predation rate which reveals competition of resources among species. © 2009 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering.