Research Data Leeds Repository

Citation

Swailem, Mohamed and Rucklidge, Alastair (2025) Dataset for 'Parametric resonance, chaos and spatial structure in the Lotka-Volterra model'. University of Leeds. [Dataset] https://doi.org/10.5518/1776

Dataset description

The dataset contains the data for generating the figures in the paper, as well as the LaTeX tikz commands and sample python scripts. The calculations are done with some fixed parameters (kappa_0 = 0.25, a_star = 1, and for the PDE calculations, diffusion constants = 1, domain = 500x500, number of Fourier modes = 512x512). The parameters that are varied are alpha (from 0 to 1), kappa_1 (from 0 to kappa_0) and n (from 0 to 1). For each combination of parameter values, the mean-field ODEs and the PDEs are solved numerically.

Subjects:	G000 - Mathematical sciences > G100 - Mathematics > G120 - Applied mathematics
Divisions:	Faculty of Engineering and Physical Sciences > School of Mathematics
Related resources:	Location Type https://doi.org/10.48550/arXiv.2511.03521 Publication
License:	Creative Commons Attribution 4.0 International (CC BY 4.0)
Date deposited:	06 Nov 2025 10:54
URI:	https://archive.researchdata.leeds.ac.uk/id/eprint/1486
Additional details Additional details Creators or authors: Creators ORCID Other ID Email Primary affiliation Primary affiliation ID Primary affiliation ID type Secondary affiliation Secondary affiliation ID Secondary affiliation ID type Swailem, Mohamed https://orcid.org/0000-0002-4590-675X University of Leeds https://ror.org/024mrxd33 ror Rucklidge, Alastair https://orcid.org/0000-0003-2985-0976 University of Leeds https://ror.org/024mrxd33 ror Type of data: Dataset Research funders: EPSRC, NSF Grant numbers: EP/V014439/1, DMS-2128587 Publication date: 2025 Resource language: English Metadata language: English Publisher: University of Leeds Contact email: A.M.Rucklidge@leeds.ac.uk Last Modified: 06 Nov 2025 11:04

Files

Documentation

readme_Swailem_Rucklidge_2025.txt [13kB] readme_Swailem_Rucklidge_2025.txt [13kB] readme_Swailem_Rucklidge_2025.txt [13kB] Security: Anyone File name: readme_Swailem_Rucklidge_2025.txt Content type: Documentation Mime-Type: text/plain License: Creative Commons Attribution 4.0 International (CC BY 4.0) File size: 13kB

Data

Swailem_Rucklidge_data.zip [22MB] Swailem_Rucklidge_data.zip [22MB] Swailem_Rucklidge_data.zip [22MB] Security: Anyone File name: Swailem_Rucklidge_data.zip Content type: Data Mime-Type: application/zip License: Creative Commons Attribution 4.0 International (CC BY 4.0) File size: 22MB