7 papers
Causal Edge Rees Algebras for Spatiotemporal Graphs
Marcilio Ferreira dos Santos, Cleiton de Lima Ricardo
Understanding the evolution of connectivity in spatiotemporal systems requires mathematical frameworks capable of encoding not only instantaneous interactions but also their cumula…
Scale-dependent Temporal Signatures of Arboviral Transmission in Urban Environments
MarcÃlio Ferreira dos Santos, Cleiton de Lima Ricardo
Understanding epidemic dynamics in urban environments requires models that capture interactions across space and time while incorporating biological constraints. In this work, we p…
Topological Percolation in Urban Dengue Transmission: A Multi-Scale Analysis of Spatial Connectivity
MarcÃlio Ferreira dos Santos, Cleiton de Lima Ricardo
We investigate the spatial organization of dengue cases in the city of Recife, Brazil, from 2015 to 2024, using tools from statistical physics and topological data analysis. Report…
Curvature-Weighted Contact Networks: Spectral Reduction and Global Stability in a Markovian SIR Model
Marcilio Ferreira dos Santos
We propose a new network-based SIR epidemic model in which transmission is modulated by a curvature-weighted contact matrix that encodes structural and geometric features of the un…
Hierarchical Bayesian Modeling of Dengue in Recife, Brazil (2015-2024): The Role of Spatial Granularity and Data Quality for Epidemiological Risk Mapping
MarcÃlio Ferreira dos Santos, Andreza dos Santos Rodrigues de Melo
Dengue remains one of Brazil's major epidemiological challenges, marked by strong intra-urban inequalities and the influence of climatic and socio-environmental factors. This study…
Urban Dengue and Spatial Dependence: A SAR Model Incorporating Favela Data in Recife, Brazil
MarcÃlio Ferreira dos Santos, Andreza dos Santos Rodrigues de Melo
In this study, we used a dataset of approximately 96,000 reported dengue cases from 2015 to 2024 in Recife, the capital of northeastern Brazil, all geocoded by neighborhood. The da…