5 citations · 7 across the 11 of their papers we have counts for
7 papers · 1 filter
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…