Ciências e Tecnologia | Artigos em revistas internacionais / Papers in international journals
URI permanente para esta coleção:
Navegar
Percorrer Ciências e Tecnologia | Artigos em revistas internacionais / Papers in international journals por Domínios Científicos e Tecnológicos (FOS) "Ciências Naturais::Matemáticas"
A mostrar 1 - 1 de 1
Resultados por página
Opções de ordenação
- Generalized beta models and population growth: so many routes to chaosPublication . Brilhante, Maria de Fátima; Gomes, Maria Ivette; Mendonça, Sandra; Pestana, Dinis; Pestana, Pedro DuarteLogistic 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.