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Artículo
Chemostats with random inputs and wall growth
(John Wiley & Sons, 2015-03-12)
Chemostat refers to a laboratory device used for growing microorganisms in a cultured environment, and has been regarded as an idealization of nature to study competition modeling of mathematical biology. The simple form ...
Artículo
Predation with indirect effects in fluctuating environments
(Springer, 2015-06-30)
We investigate the long term dynamics for a predation model of Plankton community with indirect effects, under fluctuating environments. A random version and a stochastic version with multiplicative noise of the model ...
Artículo
The effect of noise on the chafee-infante equation: a nonlinear case study
(2006)
We investigate the effect of perturbing the Chafee-Infante scalar reaction diffusion equation, ut−Δu = βu−u3, by noise. While a single multiplicative Itˆo noise of sufficient intensity will stabilise the origin, its ...
Artículo
Semi-Kolmogorov models for predation with indirect effects in random environments
(American Institute of Mathematical Sciences, 2016-09)
In this work we study semi-Kolmogorov models for predation with both the carrying capacities and the indirect effects varying with respect to randomly fluctuating environments. In particular, we consider one random ...
Artículo
Well-posedness and dynamics of a fractional stochastic integro-differential equation
(Elsevier, 2017-09-15)
In this paper we investigate the well-posedness and dynamics of a fractional stochastic integro-differential equation describing a reaction process depending on the temperature itself. Existence and uniqueness of solutions ...
Artículo
Random attractors for stochastic delay wave equations on Rn with linear memory nad nonlinear damping
(AIMS, 2022-10-01)
A non-autonomous stochastic delay wave equation with linear memory and nonlinear damping driven by additive white noise is considered on the unbounded domain Rn. We establish the existence and uniqueness of a random ...
Artículo
Random attractors for a stochastic nonlocal delayed reaction–diffusion equation on a semi-infinite interval
(Oxford Academic, 2023-09-18)
The aim of this paper is to prove the existence and qualitative property of random attractors for a stochastic non-local delayed reaction–diffusion equation (SNDRDE) on a semi-infinite interval with a Dirichlet boundary ...
Artículo
Modeling and analysis of random and stochastic input flows in the chemostat model
(American Institute of Mathematical Sciences, 2019-08)
In this paper we study a new way to model noisy input flows in the chemostat model, based on the Ornstein-Uhlenbeck process. We introduce a parameter β as drift in the Langevin equation, that allows to bridge a gap between ...