Listar Departament: Matemàtiques por autoría "f52e8a28-3258-45ee-9628-82123c6ecf1e"
Mostrando ítems 1-20 de 34
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A dynamical mathematical model for crime evolution based on a compartmental system with interactions
Calatayud, Julia; Jornet, Marc; Mateu, Jorge Taylor & Francis (2024-01-11)We use data on imprisonment in Spain to fit a system of three ordinary differential equations that describes the temporal evolution of three different groups in the country: offenders that are not in prison, offenders that ... -
A full probabilistic solution of the random linear fractional differential equation via the random variable transformation technique
Burgos Simón, Clara; Calatayud, Julia; Cortés, Juan Carlos; Navarro-Quiles, A. John Wiley & Sons, Ltd. (2018-11-28)This paper provides a full probabilistic solution of the randomized fractionallinear nonhomogeneous differential equation with a random initial conditionvia the computation of the first probability density function of the ... -
A modified perturbation method for mathematical models with randomness: An analysis through the steady-state solution to Burgers’ PDE
Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc John Wiley and Sons (2020-04-12)The variability of the data and the incomplete knowledge of the true physics require the incorporation of randomness into the formulation of mathematical models. In this setting, the deterministic numerical methods cannot ... -
A new population model for urban infestations
Calatayud, Julia; Jornet, Marc; Mateu, Jorge; Pinto, Carla M. A. Elsevier (2023-10-10)The spread of rodents and insects in cities, in particular in summer periods, poses significant health, economic, social and environmental threats. The analysis of incidence and identification of seasonal and weather ... -
A note on the mean-square solution of the hypergeometric differential equation with uncertainties
Calatayud, Julia Springer (2024-02-06)The Fröbenius method of power series has been applied to several linear random differential equations. The interest relies on the derivation of a closed-form mean-square solution and on the possibility of approximating ... -
A phenomenological model for COVID-19 data taking into account neighboring-provinces effect and random noise
Calatayud, Julia; Jornet, Marc; Mateu, Jorge Wiley (2022)We model the incidence of the COVID-19 disease during the first wave of the epidemic in Castilla-Leon (Spain). Within-province dynamics may be governed by a generalized logistic map, but this lacks of spatial structure. ... -
A stochastic Bayesian bootstrapping model for COVID-19 data
Calatayud, Julia; Jornet, Marc; Mateu, Jorge Springer (2022-01-11)We provide a stochastic modeling framework for the incidence of COVID-19 in Castilla-Leon (Spain) for the period March 1, 2020 to February 12, 2021, which encompasses four waves. Each wave is appropriately described by a ... -
An improvement of two nonstandard finite difference schemes for two population mathematical models
Calatayud, Julia; Jornet, Marc Taylor and Francis (2021-03-26)The aim of this paper is to design appropriate nonstandard finite difference (NSFD) schemes for two population mathematical models based on coupled nonlinear ordinary differential equations. Our work clarifies existing ... -
Analysis of the random heat equation via approximate density functions
Calatayud, Julia; Cortés, Juan Carlos Editura Academiei Romane (2021)In this paper we study the randomized heat equation with homo- geneous boundary conditions. The diffusion coefficient is assumed to be a random variable and the initial condition is treated as a stochastic process. The ... -
Una aplicación del teorema del valor medio para estudiar series numéricas
Burgos, Clara; Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc Una aplicación del teorema del valor medio para estudiar series numéricas (2021-10)In this note we show an application of the mean value theorem to derive the convergence/divergence of numerical series. In particular, our analysis allows us to derive the convergence of p-series and to derive the classical ... -
Computational uncertainty quantification for random non-autonomous second order linear differential equations via adapted gPC: a comparative case study with random Fröbenius method and Monte Carlo simulation
Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc De Gruyter (2018-12)This paper presents a methodology to quantify computationally the uncertainty in a class of differential equations often met in Mathematical Physics, namely random non-autonomous second-order linear differential equations, ... -
Computational uncertainty quantification for random time‐discrete epidemiological models using adaptive gPC
Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc; Villanueva, Rafael-Jacinto John Wiley & Sons, Ltd. (2018-10-22)Population dynamics models consisting of nonlinear difference equations allow us to get a better understanding of theprocesses involved in epidemiology. Usually, these mathematical models are studied under a deterministic ... -
Dealing with variability in ecological modelling: An analysis of a random non-autonomous logistic population model
Calatayud, Julia; Cortés, Juan Carlos; Dorini, Fabio Antonio; Jornet, Marc John Wiley & Sons, Ltd. (2021-05-09)This paper presents a methodology to deal with the randomness associated toecological modelling. Data variability makes it necessary to analyse the impactof random perturbations on the fitted model parameters. We conduct ... -
Extending the applicability of the RVT technique for the randomized radioactive decay chain model
Calatayud, Julia; Jornet, Marc Springer (2022-03-30)In this paper, we improve the existing analysis on the randomized radioactive decay chain model based on Bateman master equations, by Hussein and Selim (2020). For a decay chain of three species of radionuclides, the authors ... -
Frailty Assessment in a Stable COPD Cohort: Is There a COPD-Frail Phenotype?
NAVAL, ELSA; González, Maria Cruz; Giraldós, Sonia; Calatayud, Julia; Jornet, Marc; Lluch, Inmaculada; Meseguer, Maria; Ruiz Cubillan, Juan Jose; Viña, José; Tarazona-Santabalbina, Francisco José Taylor & Francis (2021-09-09)The frailty syndrome increases the morbidity/mortality in older adults, and several studies have shown a higher prevalence of this syndrome in patients with Chronic Obstructive Pulmonary Disease (COPD). The aim of this ... -
Improving the Approximation of the First- and Second-Order Statistics of the Response Stochastic Process to the Random Legendre Differential Equation
Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc Springer Nature Switzerland AG (2019-04-16)In this paper, we deal with uncertainty quantification for the random Legendre differential equation, with input coefficient A and initial conditions X0 and X1. In a previous study (Calbo et al. in Comput Math Appl ... -
Improving the approximation of the probability density function of random nonautonomous logistic-type differential equations
Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc John Wiley & Sons, Ltd. (2019-08-16)In this paper, we address the problem of approximating the probability density function of the following random logistic differential equation: P ′ (t, 𝜔�) = A(t, 𝜔�)(1 − P(t, 𝜔�))P(t, 𝜔�), t ∈ [t0, T], P(t0, 𝜔�) ... -
Lp-calculus Approach to the Random Autonomous Linear Differential Equation with Discrete Delay
Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc Springer Nature Switzerland AG (2019-06-19)In this paper, we provide a full probabilistic study of the random autonomous linear differential equation with discrete delay τ > 0: x (t) = ax(t) + bx(t − τ ), t ≥ 0, with initial condition x(t) = g(t), −τ ≤ t ≤ 0. ... -
Modeling excess weight in Spain by using deterministic and random differential equations
Calatayud, Julia Universitat Politècnica de València (2021-07-14)In this work, the aim is to model the data from the Spanish National Health Survey (ENSE) 2017, which gathers the percentage of overweight and obese adults in Spain from 1987 to 2017. A compartmental system of differential ... -
Modeling noisy time-series data of crime with stochastic differential equations
Calatayud, Julia; Jornet, Marc Springer (2022-11-01)We develop and calibrate stochastic continuous models that capture crime dynamics in the city of Valencia, Spain. From the emergency phone, data corresponding to three crime events, aggressions, stealing and women alarms, ...