Accurate epidemiological models are necessary for governments, organizations, and individuals to respond appropriately to the ongoing novel coronavirus pandemic. One informative metric epidemiological models provide is the basic reproduction number ([Formula: see text]), which can describe if the infected population is growing ([Formula: see text]) or shrinking ([Formula: see text]). We introduce a novel algorithm that incorporates the susceptible-infected-recovered-dead model (SIRD model) with the long short-term memory (LSTM) neural network that allows for real-time forecasting and time-dependent parameter estimates, including the contact rate, [Formula: see text], and deceased rate, [Formula: see text]. With an accurate prediction of [Formula: see text] and [Formula: see text], we can directly derive [Formula: see text], and find a numerical solution of compartmental models, such as the SIR-type models. Incorporating the epidemiological model dynamics of the SIRD model into the LSTM network, the new algorithm improves forecasting accuracy. Furthermore, we utilize mobility data from cellphones and positive test rate in our prediction model, and we also present a vaccination model. Leveraging mobility and vaccination schedule is important for capturing behavioral changes by individuals in response to the pandemic as well as policymakers.
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http://dx.doi.org/10.1038/s41598-022-06992-0 | DOI Listing |
Math Ann
July 2024
Department of Mathematics, Virginia Tech, Blacksburg, VA 24061 USA.
In this paper we show that if a compact set , , has Hausdorff dimension greater than when or when , then the set of congruence class of simplices with vertices in has nonempty interior. By set of congruence class of simplices with vertices in we mean where . This result improves the previous best results in the sense that we now can obtain a Hausdorff dimension threshold which allow us to guarantee that the set of congruence class of triangles formed by triples of points of has nonempty interior when as well as extending to all simplices.
View Article and Find Full Text PDFPLoS One
January 2025
Department of Basic Sciences, Preparatory Year, King Faisal University, Al-Ahsa, Saudi Arabia.
Our study presents a novel orbit with s-convexity, for illustration of the behavior shift in the fractals. We provide a theorem to demonstrate the escape criterion for transcendental cosine functions of the type Tα,β(u) = cos(um)+αu + β, for [Formula: see text] and m ≥ 2. We also demonstrate the impact of the parameters on the formatted fractals with numerical examples and graphical illustrations using the MATHEMATICA software, algorithm, and colormap.
View Article and Find Full Text PDFSci Rep
January 2025
Department of Computer Science and Information Systems, Birla Institute of Technology and Science-Pilani, Hyderabad Campus, Hyderabad, 500078, India.
The motivation for this article stems from the fact that medical image security is crucial for maintaining patient confidentiality and protecting against unauthorized access or manipulation. This paper presents a novel encryption technique that integrates the Deep Convolutional Generative Adversarial Networks (DCGAN) and Virtual Planet Domain (VPD) approach to enhance the protection of medical images. The method uses a Deep Learning (DL) framework to generate a decoy image, which forms the basis for generating encryption keys using a timestamp, nonce, and 1-D Exponential Chebyshev map (1-DEC).
View Article and Find Full Text PDFPLoS One
January 2025
Center for Research and Education in Special Environments, Department of Exercise and Nutrition Sciences, University at Buffalo, Buffalo, NY, United States of America.
Objective: This study compared the effects of two different warm-up protocols (normal vs. priming) on the oxygen plateau ([Formula: see text]) incidence rate during a ramp test. It also compared the cardiopulmonary responses during the ramp test and subsequent verification phase.
View Article and Find Full Text PDFProc Natl Acad Sci U S A
January 2025
Cavendish Laboratory, Department of Physics, University of Cambridge, Cambridge CB3 0HE, United Kingdom.
Below a critical temperature [Formula: see text], superconductors transport electrical charge without dissipative energy losses. The application of a magnetic field [Formula: see text] generally acts to suppress [Formula: see text], up to some critical field strength at which [Formula: see text] 0 K. Here, we investigate magnetic field-induced superconductivity in high-quality specimens of the triplet superconductor candidate UTe[Formula: see text] in pulsed magnetic fields up to [Formula: see text] [Formula: see text] 70 T.
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