Nonlinear self-organized population dynamics induced by external selective nonlocal processes.
Instituto de Física, Universidade de Brasília, Brasília DF, 70919-970, Brasil.
International Center for Condensed Matter Physics, CP 04455, 70919-970, Brasilia DF, Brazil.
Instituto de Física, Universidade Federal da Bahia, Campus Universitário da Federação, Rua Barão de Jeremoabo s/n, Salvador, 40170-115, BA, Brasil.
- Published Article
Communications in Nonlinear Science and Numerical Simulation
- Publication Date
Feb 01, 2021
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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This record was last updated on 10/06/2020 and may not reflect the most current and accurate biomedical/scientific data available from NLM.
The corresponding record at NLM can be accessed at https://www.ncbi.nlm.nih.gov/pubmed/32901187