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Nonlinear self-organized population dynamics induced by external selective nonlocal processes.

Authors
  • Tumbarell Aranda, Orestes1, 2
  • Penna, André L A1, 2
  • Oliveira, Fernando A1, 2, 3
  • 1 Instituto de Física, Universidade de Brasília, Brasília DF, 70919-970, Brasil.
  • 2 International Center for Condensed Matter Physics, CP 04455, 70919-970, Brasilia DF, Brazil. , (Brazil)
  • 3 Instituto de Física, Universidade Federal da Bahia, Campus Universitário da Federação, Rua Barão de Jeremoabo s/n, Salvador, 40170-115, BA, Brasil.
Type
Published Article
Journal
Communications in Nonlinear Science and Numerical Simulation
Publisher
Elsevier
Publication Date
Feb 01, 2021
Volume
93
Pages
105512–105512
Identifiers
DOI: 10.1016/j.cnsns.2020.105512
PMID: 32901187
Source
Medline
Keywords
Language
English
License
Unknown

Abstract

Self-organization evolution of a population is studied considering generalized reaction-diffusion equations. We proposed a model based on non-local operators that has several of the equations traditionally used in research on population dynamics as particular cases. Then, employing a relatively simple functional form of the non-local kernel, we determined the conditions under which the analyzed population develops spatial patterns, as well as their main characteristics. Finally, we established a relationship between the developed model and real systems by making simulations of bacterial populations subjected to non-homogeneous lighting conditions. Our proposal reproduces some of the experimental results that other approaches considered previously had not been able to obtain. © 2020 Elsevier B.V. All rights reserved.

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