5 citations · 8 across the 5 of their papers we have counts for
5 papers
Non-Markovian Light-Matter Dynamics in the Time Fractional Jaynes-Cummings Model with Modulated Coupling
Enrique C. Gabrick, Thiago T. Tsutsui, Danilo Cius +3
We investigate the fractional time description of a generalized quantum light-matter system modeled by a time-dependent Jaynes-Cummings (JC) interaction, with different coupling ty…
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…
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…
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…