Evolução dos processos físicos nos modelos de dinâmica de populações
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2017
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Resumo
Observing the point of view of the authors, as well as the evolution of the main mathematical models
and its historical importance. Focusing on temporal and spatial prediction of the variation in the
number of individuals in a population, we analyze how to mathematically model the physical processes
such as growth, interaction, dissemination and flow of a collective of individuals. We start from the
well-known model of Fibonacci and discussed how models who succeeded him, namely the Malthusian
model, Lotka-Volterra and Fisher-Kolmogorov were able to expand the understanding of the behavior of
a population. Here, in this winding timeline as the interactions between species and between species
can be explained and modeled. We show how the process of extinguishing a predatory species works,
the diffusion phenomenon of a collective because the most diverse space requirements, migration and
invasions of territories by means of convective momentum in dynamic models of a population as well as
non-locality in interactions and growth greatly expand our understanding of the patterns in nature.
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Diffusion, Pattern formation, Interactions, Population dynamics, Difusão, Formação de padrão, Interaçõe, Dinâmica de populações
Citação
CUNHA, Jefferson A. R. da; CÂNDIDO, Ladir; OLIVEIRA, Fernando A.; PENNA, André L. A. Evolução dos processos físicos nos modelos de dinâmica de populações. Revista Brasileira de Ensino de Física, São Paulo, v. 39, n. 3, e3302, 2017. DOI: 10.1590/1806-9126-RBEF-2016-0254. Disponível em: https://www.scielo.br/j/rbef/a/czNbGRhdsxGCBTtVZZMD5qx/?lang=pt. Acesso em: 27 abr. 2023.