Generalized beta models and population growth: so many routes to chaos

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorBrilhante, Maria de Fátima-
Autor(es): dc.creatorGomes, Maria Ivette-
Autor(es): dc.creatorMendonça, Sandra-
Autor(es): dc.creatorPestana, Dinis-
Autor(es): dc.creatorPestana, Pedro Duarte-
Data de aceite: dc.date.accessioned2026-08-11T12:28:51Z-
Data de disponibilização: dc.date.available2026-08-11T12:28:51Z-
Data de envio: dc.date.issued2026-01-07-
Data de envio: dc.date.issued2026-01-07-
Data de envio: dc.date.issued2022-12-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/10400.2/20707-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/10400.2/20707-
Descrição: dc.descriptionLogistic and Gompertz growth equations are the usual choice to model sustainable growth and immoderate growth causing depletion of resources, respectively. Observing that the logistic distribution is geo-max-stable and the Gompertz function is proportional to the Gumbel max-stable distribution, we investigate other models proportional to either geo-max-stable distributions (log- logistic and backward log-logistic) or to other max-stable distributions (Fréchet or max-Weibull). We show that the former arise when in the hyper-logistic Blumberg equation, connected to the Beta (p, q) function, we use fractional exponents p − 1 = 1 ∓ 1/α and q − 1 = 1 ± 1/α, and the latter when in the hyper-Gompertz-Turner equation, the exponents of the logarithmic factor are real and eventually fractional. The use of a BetaBoop function establishes interesting connections to Probability Theory, Riemann–Liouville’s fractional integrals, higher-order monotonicity and convexity and generalized unimodality, and the logistic map paradigm inspires the investigation of the dynamics of the hyper- logistic and hyper-Gompertz maps.-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Publicador: dc.publisherMDPI-
Direitos: dc.rightshttp://creativecommons.org/licenses/by/4.0/-
Palavras-chave: dc.subjectBeta and BetaBoop-
Palavras-chave: dc.subjectFractional Calculus-
Palavras-chave: dc.subjectNonlinear Maps-
Título: dc.titleGeneralized beta models and population growth: so many routes to chaos-
Aparece nas coleções:Repositório Aberto - Universidade Aberta (Portugal)

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