Data collapse, scaling functions, and analytical solutions of generalized growth models

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorCabella, Brenno Caetano Troca-
Autor(es): dc.creatorMartinez, Alexandre Souto-
Autor(es): dc.creatorRibeiro, Fabiano-
Data de aceite: dc.date.accessioned2026-02-09T12:49:36Z-
Data de disponibilização: dc.date.available2026-02-09T12:49:36Z-
Data de envio: dc.date.issued2018-03-05-
Data de envio: dc.date.issued2018-03-05-
Data de envio: dc.date.issued2011-
Fonte completa do material: dc.identifierhttps://repositorio.ufla.br/handle/1/28800-
Fonte completa do material: dc.identifierhttps://journals.aps.org/pre/abstract/10.1103/PhysRevE.83.061902-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1169016-
Descrição: dc.descriptionWe consider a nontrivial one-species population dynamics model with finite and infinite carrying capacities. Time-dependent intrinsic and extrinsic growth rates are considered in these models. Through the model per capita growth rate we obtain a heuristic general procedure to generate scaling functions to collapse data into a simple linear behavior even if an extrinsic growth rate is included. With this data collapse, all the models studied become independent from the parameters and initial condition. Analytical solutions are found when time-dependent coefficients are considered. These solutions allow us to perceive nontrivial transitions between species extinction and survival and to calculate the transition’s critical exponents. Considering an extrinsic growth rate as a cancer treatment, we show that the relevant quantity depends not only on the intensity of the treatment, but also on when the cancerous cell growth is maximum.-
Idioma: dc.languageen-
Publicador: dc.publisherAmerican Physical Society-
Direitos: dc.rightsrestrictAccess-
???dc.source???: dc.sourcePhysical Review E-
Palavras-chave: dc.subjectPopulation dynamics model-
Palavras-chave: dc.subjectData collapse-
Palavras-chave: dc.subjectScaling functions-
Palavras-chave: dc.subjectAnalytical solutions-
Palavras-chave: dc.subjectModelo de dinâmica populacional-
Palavras-chave: dc.subjectColapso de dados-
Palavras-chave: dc.subjectFunções de escala-
Palavras-chave: dc.subjectSoluções analíticas-
Título: dc.titleData collapse, scaling functions, and analytical solutions of generalized growth models-
Tipo de arquivo: dc.typeArtigo-
Aparece nas coleções:Repositório Institucional da Universidade Federal de Lavras (RIUFLA)

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