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http://dx.doi.org/10.1103/physrevc.43.25 | DOI Listing |
J Math Biol
December 2024
School of Mathematics and Statistics, The University of Melbourne, Parkville, Australia.
The epidemiological behavior of Plasmodium vivax malaria occurs across spatial scales including within-host, population, and metapopulation levels. On the within-host scale, P. vivax sporozoites inoculated in a host may form latent hypnozoites, the activation of which drives secondary infections and accounts for a large proportion of P.
View Article and Find Full Text PDFMath Biosci Eng
November 2024
Facultad de Ciencias Físico-Matemáticas, Benemérita Universidad Autónoma de Puebla, Puebla, Mexico.
Mosquito-borne infectious diseases represent a significant public health issue. Age has been identified as a key risk factor for these diseases, and another phenomenon reported is relapse, which involves the reappearance of symptoms after a symptom-free period. Recent research indicates that susceptibility to and relapse of mosquito-borne diseases are frequently age-dependent.
View Article and Find Full Text PDFHeliyon
November 2024
Fundación Universitaria Los Libertadores, Facultad de Ingeniería y Ciencias Básicas, NanoTech Group, Cra.16 No. 63a-68, Bogotá, 111221, Cundinamarca, Colombia.
We incorporate non-Markovian profiles and Linear Response Theory to analyze memory effects in two-band topological quantum systems. Furthermore, we have applied a measure of non-Markovianity in terms of nonlinear optical spectroscopy. On the other hand, we resort to memory kernel, solve the integro-differential equation of the open two-band topological quantum system to describe the degrees of non-Markovianity, calculate response factors based on Linear Response Theory, and analyze non-Markovian dynamics by varying the parameters of the nonlinear spectroscopy environment of the respective open quantum system.
View Article and Find Full Text PDFHeliyon
October 2024
Department of Mathematics, Lund University, 22362 Lund, Skåne, Sweden.
We propose a novel hybrid approach that integrates Neural Ordinary Differential Equations (NODEs) with Bayesian optimization to address the dynamics and parameter estimation of a modified time-delay-type Susceptible-Infected-Removed (SIR) model incorporating immune memory. This approach leverages a neural network to produce continuous multi-wave infection profiles by learning from both data and the model. The time-delay component of the SIR model, expressed through a convolutional integral, results in an integro-differential equation.
View Article and Find Full Text PDFPLoS One
September 2024
Department of Applied Mathematics and Data Science, Aston Centre for Artificial Intelligence Research and Applications (ACAIRA), Aston University, Birmingham, United Kingdom.
In this study, we present an immuno-epidemic model to understand mitigation options during an epidemic break. The model incorporates comorbidity and multiple-vaccine doses through a system of coupled integro-differential equations to analyze the epidemic rate and intensity from a knowledge of the basic reproduction number and time-distributed rate functions. Our modeling results show that the interval between vaccine doses is a key control parameter that can be tuned to significantly influence disease spread.
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