In this dissertation we present a qualitative theoretical study of modifications to the SIS epidemiological model for infectious diseases that do not confer immunity. We first study the classic SIS model, which considers ...

To understand the evolution of many diseases such as influenza and COVID-19, for example, it is necessary to consider the presence of multiple strains of the pathogen. Models with multiple strains of the disease-causing ...

The search for integral cographs is a topic of interest in Spectral Graph Theory. From this, and motivated by the structural characteristics of these graphs, and by their spectral properties, we propose, in this dissertation, ...

The search for distribution of eigenvalues of a graph on the real line is a topic of interest in Spectral Graph Theory. Taking into account that any interval of the real line contains some eigenvalues of a graph, since ...

In this dissertation we look in detail at the mathematical theory of Turing machines, which serve as a tool for study in the fields of Mathematics and Computing. Alongside them, we deal with the types of functions that ...

In this work we consider an Euler-Bernoulli beam on elastic foundation. The solution to problems with and without external force was obtained through modal analysis and the fundamental solution was used to write the ...

Given an exterior C 2,α-domain Ω ⊂ R n , with n ≥ 3, in this work we study the existence of a foliation of an open subset U ⊂ Ω × R, with ∂Ω ⊂ ∂U, by solutions to the exterior Dirichlet problem for the minimal ...

Não possível inserir o abstract.

In this work we present results of the qualitative theory of Ordinary Differential Equations used in the study of planar vector fields. Then, we apply these results to determine the global phase portrait in the Poincaré ...