The conflict interaction between two complex systems. Cyclic migration

TL;DR

This paper models the conflict interaction between two complex systems with internal predator-prey dynamics, showing that their trajectories tend to an asymptotic cycle, interpreted as migration processes.

Contribution

It introduces a novel discrete-time model combining external conflict interaction with internal predator-prey dynamics in complex systems.

Findings

Trajectories converge to an asymptotic attractive cycle

Model provides a new interpretation in terms of migration processes

External conflict modeled as non-annihilating opponent interaction

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.