Mathematical Model to study the spread of information from educative campaigns and rumors

Formulamos um modelo matemático determinístico baseado no princípio de ação de massas, em analogia aos trabalhos que estudam a dinâmica de doenças infecciosas em Epidemiologia. Analisamos a dinâmica do espalhamento de rumores levando em conta a simetria no número de contatos diretos entre suscetíveis e infectados pelo rumor e estudamos as implicações de uma campanha publicitária educativa na dinâmica do modelo. Posteriormente, propomos uma simplificação do modelo e desconsideramos o contato entre os indivíduos suscetíveis e infectados supostamente mais resistentes às novidades. Discutimos suas implicações no espalhamento do rumor e a conexão com os parâmetros que descrevem o comportamento social.We have developed a deterministic mathematical model based on the mass-action principle, in analogy to the works that study the dynamics of infectious diseases in Epidemiology. We analyzed the dynamic of rumors spreading, taking into account the symmetry of contacts among susceptible and infectious individuals and studied the implications of an educative broadcasting advertising in the model. Afterwards, we proposed a simplification ot the model excluding the contact among susceptible and infected individuals supposedly more resistant to novelities. Their implications to the spread of rumor and its connection with parameters describing social behavior are discussed

Relationship between connectivity and academic productivity

A relevant factor in the growth of academic productivity in the second half of 20th century is the implementation of the internet, particularly in developing countries. One of the first networks in Brazil is the Academic Network at Sao Paulo (ANSP), a regional network implemented in the state of Sao Paulo, which contains the largest concentration of researchers in the country. This study presents a unique metric for analyzing the impact of ANSP in academic productivity in the state of Sao Paulo. We correlate academic production and available bandwidth using Fisher ideal price index with suitable variables to evaluate the impact of the internet on research centers and universities. We find that the members of ANSP show a steady growth in academic productivity compared with other institutions outside of the ANSP network. These results suggest that policies which increase available bandwidth can positively affect academic productivity.FAPESPFAPES