Islam, S, Mondal, A, Mobilia, M orcid.org/0000-0002-1424-567X et al. (2 more authors) (2022) Effect of mobility in the rock-paper-scissor dynamics with high mortality. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 105 (1). ISSN 1539-3755
Abstract
In the evolutionary dynamics of a rock-paper-scissor 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 toward 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 two-dimensional lattice having three cyclically competing species. The spatiotemporal dynamics has been studied along with the two-site correlation function. Spatial distribution exhibits emergence of spiral patterns in the presence of mobility. It reveals that the joint effect of death rate and mobility (diffusion) leads to new coexistence and extinction scenarios.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2022 American Physical Society. This is an author produced version of a paper published in Physical review E: Statistical, nonlinear, and soft matter physics. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 14 Jan 2022 11:15 |
Last Modified: | 08 Apr 2022 14:58 |
Status: | Published |
Publisher: | American Physical Society |
Identification Number: | 10.1103/PhysRevE.105.014215 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:182494 |