Zobrazeno 1 - 10
of 696
pro vyhledávání: '"Batista, Antonio"'
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., susceptible (S), infected (I), exposed (E), and recovered (R). The compo
Externí odkaz:
http://arxiv.org/abs/2409.15333
Autor:
Gabrick, Enrique C., Brugnago, Eduardo L., de Moraes, Ana L. R., Protachevicz, Paulo R., da Silva, Sidney T., Borges, Fernando S., Caldas, Iberê L., Batista, Antonio M., Kurths, Jürgen
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 Lyapunov exponent, we show that typical complex structures, such as shr
Externí odkaz:
http://arxiv.org/abs/2409.08293
Autor:
da Silva, Sidney T., Gabrick, Enrique C., Protachevicz, Paulo R., Iarosz, Kelly C., Caldas, Iberê L., Batista, Antonio M., Kurths, Jürgen
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 tropical countries. We study here the influence of climate on dengue in
Externí odkaz:
http://arxiv.org/abs/2404.05266
Autor:
Souza, Diogo L. M., Borges, Fernando S., Gabrick, Enrique C., Bentivoglio, Lucas E., Protachevicz, Paulo R., Santos, Vagner dos, Viana, Ricardo L., Caldas, Ibere L., Iarosz, Kelly C., Batista, Antonio M., Kurths, Jürgen
Spiral waves are spatial-temporal patterns that can emerge in different systems as heart tissues, chemical oscillators, ecological networks and the brain. These waves have been identified in the neocortex of turtles, rats, and humans, particularly du
Externí odkaz:
http://arxiv.org/abs/2403.00022
Autor:
Gabrick, Enrique C., Brugnago, Eduardo L., de Souza, Silvio L. T., Iarosz, Kelly C., Szezech Jr., José D., Viana, Ricardo L., Caldas, Iberê L., Batista, Antonio M., Kurths, Jürgen
We study three different strategies of vaccination in a SEIRS (Susceptible--Exposed--Infected--Recovered--Susceptible) seasonal forced model, which are: ($i$) continuous vaccination; ($ii$) periodic short time localized vaccination and ($iii$) period
Externí odkaz:
http://arxiv.org/abs/2402.16883
Autor:
Souza, Diogo L. M., Gabrick, Enrique C., Protachevicz, Paulo R., Borges, Fernando S., Trobia, José, Iarosz, Kelly C., Batista, Antonio M., Caldas, Iberê L., Lenzi, Ervin K.
Publikováno v:
Chaos 34 2024
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 neurons. One successful model used for this purpose is the Adaptive Exponent
Externí odkaz:
http://arxiv.org/abs/2403.00768
Autor:
Gabrick, Enrique C., Sayari, Elaheh, de Souza, Diogo Leonai Marques, Borges, Fernando da Silva, Trobia, José, Lenzi, Ervin K., Batista, Antonio M.
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 study numerical solutions. As a real data example, we consider the Bra
Externí odkaz:
http://arxiv.org/abs/2309.06209
Autor:
Gabrick, Enrique C., Sales, Matheus R., Sayari, Elaheh, Trobia, José, Lenzi, Ervin K., Borges, Fernando da S., Szezech Jr., José D., Iarosz, Kelly C., Viana, Ricardo L., Caldas, Iberê L., Batista, Antonio M.
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 integer derivatives. We study the dynamical behavior by means of the bif
Externí odkaz:
http://arxiv.org/abs/2309.04446
Autor:
Gabrick, Enrique C., Sayari, Elaheh, Protachevicz, Paulo R., Szezech Jr., José D., Iarosz, Kelly C., de Souza, Silvio L. T., Almeida, Alexandre C. L., Viana, Ricardo L., Caldas, Iberê L., Batista, Antonio M.
In this work, we study the unpredictability of seasonal infectious diseases considering a SEIRS model with seasonal forcing. To investigate the dynamical behaviour, we compute bifurcation diagrams type hysteresis and their respective Lyapunov exponen
Externí odkaz:
http://arxiv.org/abs/2212.04244
Autor:
Santos, Vagner dos, Sales, Matheus Rolim, Muni, Sishu Shankar, Szezech Jr, José D., Batista, Antonio Marcos, Yanchuk, Serhiy, Kurths, Jürgen
The study of chimera states or, more generally, coherence-incoherence patterns has led to the development of several tools for their identification and characterization. In this work, we extend the eigenvalue decomposition method to distinguish betwe
Externí odkaz:
http://arxiv.org/abs/2211.11454