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Browsing by Author "Cortés López, Juan Carlos"

Now showing items 1-20 of 285

A comparative study to the numerical approximation of random Airy differential equation

Cortés López, Juan Carlos; Jódar Sánchez, Lucas Antonio; Romero Bauset, José Vicente; Roselló Ferragud, María Dolores (Elsevier, 2011-11)

The aim of this paper is twofold. First, we deal with the extension to the random framework of the piecewise Fröbenius method to solve Airy differential equations. This extension is based on mean square stochastic calculus. ...
A comprehensive probabilistic analysis of SIR-type epidemiological models based on full randomized Discrete-Time Markov Chain formulation with applications

Cortés, J.-C.; El-Labany, S.K.; Navarro-Quiles, A.; Selim, Mustafa M.; Slama, H. (John Wiley & Sons, 2020-09-30)

[EN] This paper provides a comprehensive probabilistic analysis of a full randomization of approximate SIR-type epidemiological models based on discrete-time Markov chain formulation. The randomization is performed by ...
A comprehensive probabilistic solution of random SIS-type epidemiological models using the Random Variable Transformation technique

Casabán, M.C.; Cortés, J.-C.; Navarro-Quiles, A.; Romero, José-Vicente; Roselló, María-Dolores; Villanueva Micó, Rafael Jacinto (Elsevier, 2016)

[EN] This paper provides a complete probabilistic description of SIS-type epidemiological models where all the input parameters (contagion rate, recovery rate and initial conditions) are assumed to be random variables. By ...
A delayed nonlinear stochastic model for cocaine consumption: Stability analysis and simulation using real data

Burgos-Simon, Clara; Cortés, J.-C.; Shaikhet, L.; Villanueva Micó, Rafael Jacinto (American Institute of Mathematical Sciences, 2021-04)

[EN] In this paper we propose a stochastic mathematical model with distributed delay in order to describe the transmission dynamics of cocaine consumption in Spain. We investigate conditions to guarantee the stability in ...
A full probabilistic analysis of a randomized kinetic model for reaction-deactivation of hydrogen peroxide decomposition with applications to real data

Cortés, J.-C.; Navarro-Quiles, A.; Romero, José-Vicente; Roselló, María-Dolores (Springer-Verlag, 2021-04-15)

[EN] The classical kinetic equation has been broadly used to describe reaction and deactivation processes in chemistry. The mathematical formulation of this deterministic nonlinear differential equation depends on reaction ...
A full probabilistic solution of the random linear fractional differential equation via the Random Variable Transformation technique

Burgos-Simon, Clara; Calatayud-Gregori, Julia; Cortés, J.-C.; Navarro-Quiles, A. (John Wiley & Sons, 2018)

[EN] This paper provides a full probabilistic solution of the randomized fractional linear nonhomogeneous differential equation with a random initial condition via the computation of the first probability density function ...
A Heuristic optimization approach to solve berth allocation problem

Burgos-Simon, Clara; Cortés, J.-C.; Martínez-Rodríguez, David; Villanueva Micó, Rafael Jacinto (R. Company, J. C. Cortés, L. Jódar and E.López-Navarro, 2019-07-12)
A mean square chain rule and its application in solving the random Chebyshev differential equation

Cortés, J.-C.; Villafuerte, Laura; Burgos-Simon, Clara (Springer-Verlag, 2017)

[EN] In this paper a new version of the chain rule for calculat- ing the mean square derivative of a second-order stochastic process is proven. This random operational calculus rule is applied to construct a rigorous mean ...
A modified perturbation method for mathematical models with randomness: An analysis through the steady-state solution to Burgers' partial differential equation

Calatayud, Julia; Cortés, J.-C.; Jornet, Marc (John Wiley & Sons, 2021-10)

[EN] 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 ...
A nonlinear dynamic age-structured model of e-commerce in Spain: Stability analysis of the equilibrium by delay and stochastic perturbations

Burgos-Simon, Clara; Cortés, J.-C.; Shaikhet, Leonid; Villanueva Micó, Rafael Jacinto (Elsevier, 2018)

[EN] First, we propose a deterministic age-structured epidemiological model to study the diffusion of e-commerce in Spain. Afterwards, we determine the parameters (death, birth and growth rates) of the underlying demographic ...
A probabilistic analysis of a Beverton-Holt type discrete model: Theoretical and computing analysis

Cortés, J.-C.; Navarro-Quiles, A.; Romero, José-Vicente; Roselló, María-Dolores (John Wiley & Sons, 2019)

[EN] In this paper a randomized version of the Beverton-Holt type discrete model is proposed. Its solution stochastic process and the random steady state are determined. Its first probability density function and second ...
A Probabilistic Analysis to Quantify the Effect of March 11, 2004, Attacks in Madrid on the March 14 Elections in Spain: A Dynamic Modelling Approach

Cortés, J.-C.; Sánchez, Francisco; Santonja Gómez, Francisco José; Villanueva Micó, Rafael Jacinto (Hindawi Publishing Corporation, 2015)

[EN] The bomb attacks in Madrid three days before the general elections of March 14, 2004, and their possible influence on the victory of PSOE (Spanish Workers Socialist Party), defeating PP (Popular Party), have been a ...
A probabilistic estimation and prediction technique for dynamic continuous social science models: The evolution of the attitude of the Basque Country population towards ETA as a case study

Cortés, J.-C.; Santonja, F.; Tarazona Tornero, Ana Celia; Villanueva Micó, Rafael Jacinto; Villanueva Oller, Francisco Javier (Elsevier, 2015-08-01)

In this paper, a computational technique to deal with uncertainty in dynamic continuous models in Social Sciences is presented.Considering data from surveys,the method consists of determining the probability distribution ...
A random Laplace transform method for solving random mixed parabolic differential problems

Casabán Bartual, Mª Consuelo; Cortés López, Juan Carlos; Jódar Sánchez, Lucas Antonio (Elsevier, 2015-05)

[EN] This paper deals with the explicit solution of random mixed parabolic equations in unbounded domains by using the random Laplace transform to second order stochastic processes. The mean square random Laplace operational ...
A reaction-diffusion equation to model the population of Candida Auris in an Intensive Care Unit

Perez-Diukina, Cristina; Cortés, J.-C.; Villanueva Micó, Rafael Jacinto (Universitat Politècnica de València, 2022-07-15)

[EN] In order to model a population of microorganisms in a given environment through time and space, ordinary differential equations (ODEs) and partial differential equations (PDEs) are, respectively, well studied and very ...
A time-fractional HIV infection model with nonlinear diffusion

Manimaran, J.; Shangerganesh, L.; Debbouche, A.; Cortés, J.-C. (Elsevier, 2021-06)

[EN] This paper deals with a set of three partial differential equations involving time-fractional derivatives and nonlinear diffusion operators. This model helps us to understand the HIV spread and transmission into the ...
Advances on Uncertainty Quantification Techniques for Dynamical Systems: Theory and Modelling

Burgos Simón, Clara (Universitat Politècnica de València, 2021-05-17)

[ES] La cuantificación de la incertidumbre está compuesta por una serie de métodos y técnicas computacionales cuyo objetivo principal es describir la aleatoriedad presente en problemas de diversa índole. Estos métodos son ...
Age-structured mathematical modelling approach to short term diffussion of E-commerce in Spain

Lombana, Iván Camilo (Universitat Politècnica de València, 2011-11-21)

A compartmental model based on a nonlinear differential equation system is developed to study the diffusion and future trends in short-term of E-commerce in Spain with available official data from INE. Stability and ...
Agent-Based Model to Study and Quantify the Evolution Dynamics of Android Malware Infection

Alegre Sanahuja, Juan; Camacho Vidal, Francisco Javier; Cortés López, Juan Carlos; Santonja, Francisco-José; Villanueva Micó, Rafael Jacinto (Hindawi Publishing Corporation, 2014-10-28)

[EN] In the last years the number of malware Apps that the users download to their devices has risen. In this paper, we propose an agentbased model to quantify the Android malware infection evolution, modeling the behavior ...
Aleatorizando el modelo de crecimiento malthusiano

Cortés, J.-C.; García Moreno, E.; Navarro-Quiles, A. (2017-04)

[EN] This paper deals with the randomization of the classical malthusian model using a markovian approach. We show that the solution stochastic process, usually referred to as birth process, corresponds to the shift negative ...