Licenciatura em Matemática (Sede)
URI permanente desta comunidadehttps://arandu.ufrpe.br/handle/123456789/24
Siglas das Coleções:
APP - Artigo Publicado em Periódico
TAE - Trabalho Apresentado em Evento
TCC - Trabalho de Conclusão de Curso
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3 resultados
Resultados da Pesquisa
Item Modelos matemáticos epidemiológicos do tipo SIS e SIR e o segundo método de Lyapunov(2023-05-05) Santos, Letícia Maria Menezes dos; Didier, Maria Ângela Caldas; Freitas, Lorena Brizza Soares; http://lattes.cnpq.br/2302580820419163; http://lattes.cnpq.br/9721552594807972; http://lattes.cnpq.br/9115322351374062This work aims to study epidemiological mathematical models of the SIS (Susceptible- Infected-Susceptible) and SIR (Susceptible-Infected-Removed) types, focusing on the stability of the equilibrium points of the differential equation systems that describe them. Stability analysis will be presented in two ways, using the eigenvalue characteristics and/or the trace of the system matrix and using the Second Lyapunov Method. We also address the stability of variations of these models, considering non-constant total population and vital dynamics (births and deaths), or dividing the population of infected individuals into exposed individuals (infected who do not yet transmit the disease) and infectious individuals (infected who transmit the disease). We define the Basic Reproduction Value, and for some models, we present ways to obtain it from the involved rates and initial conditions of the system. A calculation that determines the maximum number of infected individuals reached was performed for the SIR model with constant total population and without vital dynamics. Finally, to understand how these models are practically applied, we decided to study the evolution of the COVID-19 pandemic in the state of Pernambuco in 2020 and 2021 through the SIR model with constant population size and no vital dynamics. To do this, we calculated the Basic Reproduction Value and the maximum number of infected individuals for each case. It is worth noting that an evolutionary algorithm was used to obtain a model that best approximated the real data.Item Percepções dos estudantes acerca do uso das tecnologias digitais no ensino de Matemática no contexto da pandemia de COVID-19(2022-09-23) Nascimento, Hugo Roberto do; Silva, Fabiano Barbosa Mendes da; http://lattes.cnpq.br/4936474533283881; http://lattes.cnpq.br/2351740258749027Item Dados estatísticos da pandemia do COVID-19: possíveis utilizações para o letramento estatístico(2021-05-27) Silva, Diego Felipe Lourenço da; Oliveira, Wanderson Aleksander da Silva; http://lattes.cnpq.br/2008221101871542; http://lattes.cnpq.br/0553453285776196The COVID-19 pandemic has led to many unforeseen situations, among which we can highlight those related to the advancement of information and communication technologies, such as, for example, the increase in the use of electronic commerce and the implementation of teaching models inspired by the hybrid education, but many difficult and bad situations for the population, highlighting the Brazilian, reality in question. Still in this perspective, there is a massive amount of information disseminated at all times about the pandemic, including in the form of statistical data. However, it is of paramount importance that these data are understood by the population, and then concerns about Statistical Literacy (LE) in schools emerge assist in the formation of citizens. Thus, this research aims to identify activities that can be developed with the statistical data of the pandemic of the new coronavirus, aiming at Statistical Literacy for students of Basic Education, based on the discussions of Gal (2002). Therefore, it was necessary to frame the research as qualitative and as a case study to analyze the data of the pandemic in Brazil, additionally, research was carried out on the official websites of the Ministry of Health to extract the data necessary for analysis. As a result, it was possible to identify mathematical subjects, more specifically in elementary school, final years 9th year, which can be incorporated together with statistical data, enabling the development of activities in order to provide Statistical Literacy. Therefore, the research brings the visibility of the importance of the LE for the formation of the citizen, with activities that can be applied in the 9th year and can improve the statistical understanding of the students, resulting in beneficial social impacts for society.