The period function of the generalized Lotka-Volterra centers

"Vegeu el resum a l'inici del document del fitxer adjunt"

Quadratic perturbations of a quadratic reversible Lotka-Volterra System

"Vegeu el resum a l'inici del document del fitxer adjunt."

A Lei de Lotka na bibliometria brasileira

Usando os dados reportados em artigos publicados em revistas brasileiras e trabalhos apresentados em congressos nacionais, replicaram-se as aplicações da Lei de Lotka à literatura brasileira em 10 campos diferentes. Utilizou-se o modelo do poder inverso pelos métodos do mínimo quadrado e probabilidade máxima. Das 10 literaturas nacionais analisadas, somente a literatura de medicina, siderurgia, jaca e biblioteconomia ajustaram-se ao modelo do poder inverso generalizado pelo método dos mínimos quadrados. No entanto, só duas literaturas (veterinária e cartas do Arquivo Privado de Getúlio Vargas) não se ajustaram ao modelo quando se usou o método da máxima probabilidade. Para ambas literaturas, tentaram-se modelos diferentes. A literatura de veterinária ajustou-se à distribuição binomial negativa, e as cartas do Arquivo Privado de Getúlio Vargas ajustaram-se melhor à distribuição Gauss-Poisson Inversa Generalizada.

A produtividade dos autores sobre a Lei de Lotka

Estuda a produção estratificada dos autores produtores da literatura sobre a Lei de Lotka de 1922 a 2003 e analisa essa produtividade através dos modelos Poisson lognormal e Gauss Poisson inversa generalizada. Para tanto, faz uso dos três tipos de contagem da literatura produzida: contagem direta, contagem completa e contagem fracionada. Os dados da pesquisa são avaliados usando o teste qui-quadrado ao 0.05 nível de significância. Ambos os modelos ajustam-se muito bem à distribuição da literatura produzida, porém a distribuição Poisson Gauss inversa generalizada produz um chi-quadrado menor e prediz melhor o total de autores do que a distribuição Poisson Lognormal.

Crescimento da literatura e dos autores sobre a Lei de Lotka

Analisa o crescimento da literatura produzida sobre a Lei de Lotka, assim como o crescimento dos autores produtores dessa literatura, de 1922 a 2003. Nesse período o crescimento da literatura segue o modelo exponencial, com taxa média de crescimento de 7,5% ao ano e taxa de duplicação a cada 9,6 anos. Também o número de autores produtores da literatura cresce à proporção de 7,3% ao ano, com período de duplicação a cada 10 anos. A estatística indica bom ajuste ao modelo exponencial, com R² de 0,985 para a literatura e 0,992 para os autores, ambos a um nível de significância de 0,01.

Duracion de la vida: capitulos seleccionados del libro de Dublin, Lotka y Spiegelman Length of Life"

Incluye Bibliografía

Estabilidade global e bifurcação de Hopf em um modelo de HIV baseado em sistemas do tipo Lotka-Volterra

Pós-graduação em Matematica Aplicada e Computacional - FCT

Transformadas integrais, modelagem fracionária e o sistema de Lotka-Volterra

Pós-graduação em Biometria - IBB

Modelo de Lotka-Volterra com inclusão de termos perturbativos e capacitivos

Our purpose is to show the effects in the predator-prey trajectories due to parameter temporal perturbations and/or inclusion of capacitive terms in the Lotka Volterra Model. An introduction to the Lotka Volterra Model (chapter 2) required a brief review of nonlinear differential equations and stability analysis (chapter 1) , for a better understanding of our work. In the following chapters we display in sequence our results and discussion for the randomic pertubation case (chapter 3); periodic perturbation (chapter 4) and inclusion of capacitive terms (chapter 5). Finally (chapter 6) we synthesize our result

A Periodic Lotka-Volterra System

In this paper periodic time-dependent Lotka-Volterra systems are considered. It is shown that such a system has positive periodic solutions. It is done without constructive conditions over the period and the parameters.

Competitive processes in controlled cationic ring-opening polymerization of oxetane:a Lotka-Volterra predator-prey model of two growing species competing for the same resources

The activation-deactivation pseudo-equilibrium coefficient Qt and constant K0 (=Qt x PaT1,t = ([A1]x[Ox])/([T1]x[T])) as well as the factor of activation (PaT1,t) and rate constants of elementary steps reactions that govern the increase of Mn with conversion in controlled cationic ring-opening polymerization of oxetane (Ox) in 1,4-dioxane (1,4-D) and in tetrahydropyran (THP) (i.e. cyclic ethers which have no homopolymerizability (T)) were determined using terminal-model kinetics. We show analytically that the dynamic behavior of the two growing species (A1 and T1) competing for the same resources (Ox and T) follows a Lotka-Volterra model of predator-prey interactions. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

An examination of Lotka's law in the field of Library and Information Studies

The purpose of this study was to test Lotka’s law of scientific publication productivity using the methodology outlined by Pao (1985), in the field of Library and Information Studies (LIS). Lotka’s law has been sporadically tested in the field over the past 30+ years, but the results of these studies are inconclusive due to the varying methods employed by the researchers. ^ A data set of 1,856 citations that were found using the ISI Web of Knowledge databases were studied. The values of n and c were calculated to be 2.1 and 0.6418 (64.18%) respectively. The Kolmogorov-Smirnov (K-S) one sample goodness-of-fit test was conducted at the 0.10 level of significance. The Dmax value is 0.022758 and the calculated critical value is 0.026562. It was determined that the null hypothesis stating that there is no difference in the observed distribution of publications and the distribution obtained using Lotka’s and Pao’s procedure could not be rejected. ^ This study finds that literature in the field of Library and Information Studies does conform to Lotka’s law with reliable results. As result, Lotka’s law can be used in LIS as a standardized means of measuring author publication productivity which will lead to findings that are comparable on many levels (e.g., department, institution, national). Lotka’s law can be employed as an empirically proven analytical tool to establish publication productivity benchmarks for faculty and faculty librarians. Recommendations for further study include (a) exploring the characteristics of the high and low producers; (b) finding a way to successfully account for collaborative contributions in the formula; and, (c) a detailed study of institutional policies concerning publication productivity and its impact on the appointment, tenure and promotion process of academic librarians. ^

Dez anos de pesquisa contábil no Brasil: análise dos trabalhos apresentados nos Enanpads de 1996 a 2005

This paper analyzes the temporal evolution of scientific accounting research in Brazil and the relationship between as not-motive and positive approaches. In order to do so, this study was based on documental descriptive research of papers submitted at the Annual Meeting of the National Association of the Post-Graduation Programs in Management (ENANPADs), from 1996 to 2005. Bibliometrics (Lotka's Law) was used to assess the productivity of the authors of the papers. The results are consistent with the results obtained by Fulbier and Sellhorn (2006) in Europe and reveal that authors predominantly adopt a positive approach,few researchers use the two approaches and confirm that Brazilian researchers have a lower productivity in comparison to those who publish in English-language periodicals.