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Effective potential for non-coupled stochastic partial differential equations
(Facultad Experimental de Ciencias de la Universidad del Zulia, 2010)
Time–space white noise eliminates global solutions in reaction–diffusion equations
(Elsevier Science, 2009-01)
We prove that perturbing the reactiondiffusion equation ut = uxx + (u+) p p > 1), with timespace white noise produces that solutions explodes with probability one for every initial datum, opposite to the deterministic model ...
First-passage times for pattern formation in nonlocal partial differential equations
(American Physical Society, 2015-10)
We describe the lifetimes associated with the stochastic evolution from an unstable uniform state to a patterned one when the time evolution of the field is controlled by a nonlocal Fisher equation. A small noise is added ...
Fairy circles and their non-local stochastic instability
(Springer, 2017-02)
We study analytically a non local stochastic partial differential equation describing a fundamental mechanism for patterns formation, as the one responsible for the so called fairy circles appearing in two different ...
Stochastic Path Perturbation Approach Applied to Non-Local Non-Linear Equations in Population Dynamics
(EDP Sciences, 2015-07)
We described the first passage time distribution associated to the stochastic evolution from an unstable uniform state to a patterned one (attractor of the system), when the time evolution is given by an integro-differential ...
Estimation of a mixed effects model using a partially observed diffusion processEstimulación de un modelo de efectos mixtos usando un proceso de difusión parcialmente observado
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 2019)
Some exact solutions for a unidimensional Fokker-Planck equation by using lie symmetriesAlgunas soluciones exactas para la ecuación unidimensional de fokker-planck usando simetrías de lie
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 2015)