Effect of mobility in the rock-paper-scissor dynamics with high mortality

In the evolutionary dynamics of a rock-paper-scissor (RPS) model, the effect of natural death plays a major role in determining the fate of the system. Coexistence, being an unstable fixed point of the model becomes very sensitive towards this parameter. In order to study the effect of mobility in s...

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Bibliographic Details
Published in:arXiv.org 2022-01
Main Authors: Islam, Sahil, Mondal, Argha, Mobilia, Mauro, Bhattacharyya, Sirshendu, Hens, Chittaranjan
Format: Article
Language:English
Subjects:
Diffusion rate
Monte Carlo simulation
Mortality
Parameter sensitivity
Spatial distribution
Online Access:Get full text
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Summary:In the evolutionary dynamics of a rock-paper-scissor (RPS) model, the effect of natural death plays a major role in determining the fate of the system. Coexistence, being an unstable fixed point of the model becomes very sensitive towards this parameter. In order to study the effect of mobility in such a system which has explicit dependence on mortality, we perform Monte Carlo simulation on a \(2\)-dimensional lattice having three cyclically-competing species. The spatio-temporal dynamics has been studied along with the two-site correlation function. Spatial distribution exhibits emergence of spiral patterns in the presence of diffusion. It reveals that the joint effect of death rate and diffusion (migration) leads to new coexistence and extinction scenarios.
ISSN:2331-8422
DOI:10.48550/arxiv.2111.13635