5 citations · 7 across the 11 of their papers we have counts for
12 papers
Climate and dengue synchronization in southern Brazil: a municipal analysis with cross-state validation
Enrique C. Gabrick, Antonio M. Batista, Iberê L. Caldas +2
Dengue transmission is rapidly expanding beyond its historical tropical range, raising concerns about how climate change may alter the collective dynamics of epidemics. While most…
Predicting temperatures in Brazilian states capitals via Machine Learning
Sidney T. da Silva, Enrique C. Gabrick, Ana Luiza R. de Moraes +4
Climate change refers to substantial long-term variations in weather patterns. In this work, we employ a Machine Learning (ML) technique, the Random Forest (RF) algorithm, to forec…
Continuous and discrete compartmental models for infectious disease
Gustavo A. Sousa, Diogo L. M. Souza, Enrique C. Gabrick +4
The study of infectious disease propagation is essential for understanding and controlling epidemics. One of the most useful tools for gaining insights into the spread of infectiou…
Fractional and fractal extensions of epidemiological models
Enrique C. Gabrick, Ervin K. Lenzi, Antonio M. Batista
One way to study the spread of disease is through mathematical models. The most successful models compartmentalize the host population according to their infectious stage, e.g., su…
Control, bi-stability and preference for chaos in time-dependent vaccination campaign
Enrique C. Gabrick, Eduardo L. Brugnago, Ana L. R. de Moraes +6
In this work, effects of constant and time-dependent vaccination rates on the Susceptible-Exposed-Infected-Recovered-Susceptible (SEIRS) seasonal model are studied. Computing the L…
When climate variables improve the dengue forecasting: a machine learning approach
Sidney T. da Silva, Enrique C. Gabrick, Paulo R. Protachevicz +4
Dengue is a viral vector-borne infectious disease that affects many countries worldwide, infecting around 390 million people per year. The main outbreaks occur in subtropical and t…
Impact of periodic vaccination in SEIRS seasonal model
Enrique C. Gabrick, Eduardo L. Brugnago, Silvio L. T. de Souza +6
We study three different strategies of vaccination in a SEIRS (Susceptible--Exposed--Infected--Recovered--Susceptible) seasonal forced model, which are: () continuous vaccinatio…
Adaptive Exponential Integrate-and-Fire Model with Fractal Extension
Diogo L. M. Souza, Enrique C. Gabrick, Paulo R. Protachevicz +6
The description of neuronal activity has been of great importance in neuroscience. In this field, mathematical models are useful to describe the electrophysical behaviour of neuron…
Multistability and chaos in SEIRS epidemic model with a periodic time-dependent transmission rate
Eduardo L. Brugnago, Enrique C. Gabrick, Kelly C. Iarosz +4
In this work, we study the dynamics of a SEIRS epidemic model with a periodic time-dependent transmission rate. Emphasizing the influence of the seasonality frequency on the system…
Fractal and Fractional SIS model for syphilis data
Enrique C. Gabrick, Elaheh Sayari, Diogo Leonai Marques de Souza +4
This work studies the SIS model extended by fractional and fractal derivatives. We obtain explicit solutions for the standard and fractal formulations; for the fractional case, we…
Fractional dynamics and recurrence analysis in cancer model
Enrique C. Gabrick, Matheus R. Sales, Elaheh Sayari +8
In this work, we analyze the effects of fractional derivatives in the chaotic dynamics of a cancer model. We begin by studying the dynamics of a standard model, {\it i.e.}, with in…
Characterization in bi-parameter space of a non-ideal oscillator
S. L. T. de Souza, A. M. Batista, M. S. Baptista +2
We investigate the dynamical behavior of a non-ideal Duffing oscillator, a system composed of a mass-spring-pendulum driven by a DC motor with limited power supply. To identify new…