The conflict interaction between two complex systems. Cyclic migration
Probability
2009-11-03 v1
Abstract
We construct and study a discrete time model describing the conflict interaction between two complex systems with non-trivial internal structures. The external conflict interaction is based on the model of alternative interaction between a pair of non-annihilating opponents. The internal conflict dynamics is similar to the one of a predator-prey model. We show that the typical trajectory of the complex system converges to an asymptotic attractive cycle. We propose an interpretation of our model in terms of migration processes.
Cite
@article{arxiv.0911.0170,
title = {The conflict interaction between two complex systems. Cyclic migration},
author = {S. Albeverio and V. Koshmanenko and I. Samoilenko},
journal= {arXiv preprint arXiv:0911.0170},
year = {2009}
}