# Basin entropy behavior in a cyclic model of the rock-paper-scissors type

## TL;DR

This paper explores how basin entropy can be used to analyze chaotic dynamics and biodiversity in a stochastic cyclic model similar to rock-paper-scissors, through extensive network simulations.

## Contribution

It introduces basin entropy as a novel tool for studying chaos and biodiversity in cyclic three-species models with stochastic network simulations.

## Key findings

- Basin entropy correlates with chaotic behavior in the model.
- Simulation results reveal the impact of mobility, predation, and reproduction parameters.
- Basin entropy provides insights into biodiversity stability and chaos.

## Abstract

We deal with stochastic network simulations in a model with three distinct species that compete under cyclic rules which are similar to the rules of the popular rock-paper-scissors game. We investigate the Hamming distance density and then the basin entropy behavior, running the simulations for some typical values of the parameters mobility, predation and reproduction and for very long time evolutions. The results show that the basin entropy is another interesting tool of current interest to investigate chaotic features of the network simulations that are usually considered to describe aspects of biodiversity in the cyclic three-species model.