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Artículo
A stochastic SIRI epidemic model with relapse and media coverage
(American Institute of Mathematical Sciences, 2018)
This work is devoted to investigate the existence and uniqueness of a global positive solution for a stochastic epidemic model with relapse and media coverage. We also study the dynamical properties of the solution around ...
Artículo
Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise
(2016)
In this paper we investigate the long term behavior of a stochastic lattice dynamical system with a diffusive nearest neighbor interaction, a dissipative nonlinear reaction term, and a different multiplicative white noise ...
Artículo
Dynamics of some stochastic chemostat models with multiplicative noise
(American Institute of Mathematical Sciences, 2017-08)
In this paper we study two stochastic chemostat models, with and without wall growth, driven by a white noise. Specifically, we analyze the existence and uniqueness of solutions for these models, as well as the existence ...
Artículo
Bifurcation scenarios in an ordinary differential equation with constant and distributed delay: A case study
(American Institute of Mathematical, 2019-06)
In this article we consider a model introduced by Ucar in order to simply describe chaotic behaviour with a one dimensional ODE containing a constant delay. We study the bifurcation problem of the equilibria and we obtain ...
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
Existence, uniqueness and asymptotic behavior of solutions for a nonclassical diffusion equation with delay
(2013)
A nonclassical nonautonomous diffusion equation with delay is analyzed. First, we prove the existence and uniqueness of solutions by using the Galerkin approximations and the energy method. Next, we prove the existence and ...
Artículo
Dynamic safety assessment of a nonlinear pumped-storage generating system in a transient process
(Elsevier, 2019-02)
This paper focuses on a pumped-storage generating system with a reversible Francis turbine and presents an innovative framework for safety assessment in an attempt to overcome their limitations. Thus the aim is to analyze ...
Artículo
Stability with respect to a part of the variables of stochastic di erential equations driven by G-Brownian motion
(Springer, 2020-11-01)
In this paper, we investigate the pth moment exponential stability of stochastic dif- ferential equations driven by G-Brownian motion (G-SDEs) with respect to a part of the variables by means of the G-Lyapunov functions ...
Artículo
Existence of periodic positive solutions to a nonlinear Lotka-Votlerra competition systems
(AGH University of Science and Technology Press, 2020)
We investigate the existence of positive periodic solutions of a nonlinear Lotka-Volterra competition system with deviating arguments. The main tool we use to obtain our result is the Krasnoselskii fixed point theorem. In ...
Artículo
A way to model stochastic perturbations in population dynamics models with bounded realizations
(Elsevier, 2019-10)
In this paper, we analyze the use of the Ornstein-Uhlenbeck process to model dynamical systems subjected to bounded noisy perturbations. In order to discuss the main characteristics of this new approach we consider some ...