Calatayud-Gregori, Julia; Cortés, J.-C.; Jornet-Sanz, Marc(International Scientific Research Publications MY SDN. BHD., 2018)
[EN] In this paper, the application of adaptive generalized polynomial chaos (gPC) to quantify the uncertainty for non-linear
random difference equations is analyzed. It is proved in detail that, under certain assumptions, ...
[EN] In this paper, we construct two linearly independent response processes to the random Legendre differential equation on (-1,1)U(1,3), consisting of Lp(omega) convergent random power series around the regular¿singular ...
Burgos-Simon, Clara; Cortés, J.-C.; López-Navarro, Elena; Villanueva Micó, Rafael Jacinto(American Institute of Mathematical Sciences, 2021-03-02)
[EN] We provide a full stochastic description, via the first probability density function, of the solution of linear-quadratic logistic-type differential equation whose parameters involve both continuous and discrete random ...
[EN] Epilepsy is one of the most ancient diseases. Despite the efforts of scientists and doctors to improve the quality of live of epileptic patients, the disease is still a mystery in many senses. Anti-epileptic drugs are ...
Jornet, Marc; Calatayud, J.; Le Maître, O.P.; Cortés, J.-C.(Elsevier, 2020-08-15)
[EN] This paper concerns the analysis of random second order linear differential equations. Usually, solving these equations consists of computing the first statistics of the response process, and that task has been an ...
[EN] The objective of this paper is to complete certain issues from our recent contribution
(Calatayud, J.; Cortés, J.-C.; Jornet, M.; Villafuerte, L. Random non-autonomous second order linear
differential equations: ...
[EN] These datasets were generated to train ("PopulationDrugsTrainingKrNaLCaL.xlsx") and test ("PopulationDrugsTestKrCaLNaL.xlsx") the uncertainty assessment models developed in the paper "Uncertainty assessment of ...
Cortés, J.-C.; Moscardó-García, A.; Villanueva Micó, Rafael Jacinto(Elsevier, 2022-02)
[EN] The so-called logistic model with harvesting, p '(t)=rp(t)(1-p(t)/K)-c(t)p(t), p(t(0))=p(0), is a classical ecological model that has been extensively studied and applied in the deterministic setting. It has also been ...
[EN] Discrete stochastic systems model discrete response data on some phenomenon with inherent uncertainty. The main goal of uncertainty quantification is to derive the probabilistic features of the stochastic system. This ...
[EN] This paper deals with the randomized heat equation defined on a general bounded interval [L-1, L-2] and with nonhomogeneous boundary conditions. The solution is a stochastic process that can be related, via changes ...
Rubio Monzó, María(Universitat Politècnica de València, 2015-10-13)
[EN] The present Ph.D. Thesis considers epidemiological mathematical models based on ordinary differential equations and shows its application to understand the cocaine consumption epidemic in Spain. Three mathematical ...
Bevia-Escrig, Vicente-José; Burgos-Simon, Clara; Cortés, J.-C.; Villanueva Micó, Rafael Jacinto(MDPI AG, 2021-06)
[EN] The Baranyi-Roberts model describes the dynamics of the volumetric densities of two interacting cell populations. We randomize this model by considering that the initial conditions are random variables whose distributions ...