José Valero
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View article: Strongly order preserving multivalued nonautonomous dynamical systems
Strongly order preserving multivalued nonautonomous dynamical systems Open
This paper is devoted to the study of nonautonomous multivalued semiflows and their associated pullback attractors. For this kind of dynamical systems we are able to characterize the upper and lower bounds of the attractor as complete traj…
View article: Maximal attractors for multivalued semiflows
Maximal attractors for multivalued semiflows Open
In this work we find conditions under which a slowly non–dissipative multivalued semiflow, defined in terms of generalized semiflows , has a strict maximal attractor . We apply our results to a differential reaction–diffusion inclusion wit…
View article: On a retarded stochastic system with discrete diffusion modeling life tables
On a retarded stochastic system with discrete diffusion modeling life tables Open
This work proposes a method for modeling and forecasting mortality rates. It constitutes an improvement over previous studies by incorporating both the historical evolution of the mortality phenomenon and its random behavior. In the first …
View article: Generalized TCP-Red Dynamical Model for Internet Congestion Control
Generalized TCP-Red Dynamical Model for Internet Congestion Control Open
Adaptive management of traffic congestion in the Internet is a complex problem that can gain useful insights from a dynamical approach. In this paper we propose and analyze a one-dimensional, discrete-time nonlinear model for Internet cong…
View article: Existence of periodic solutions for a scalar differential equation modelling optical conveyor belts
Existence of periodic solutions for a scalar differential equation modelling optical conveyor belts Open
We study a one-dimensional ordinary differential equation modelling optical conveyor belts, showing in particular cases of physical interest that periodic solutions exist. Moreover, under rather general assumptions it is proved that the se…
View article: Monotone Multivalued Nonautonomous Dynamical Systems
Monotone Multivalued Nonautonomous Dynamical Systems Open
This paper is devoted to the study of nonautonomous multivalued semiflows and their associated pullback attractors. For this kind of dynamical systems we are able to characterize the upper and lower bounds of the attractor as complete traj…
View article: Mild solutions to time fractional 2D-Navier-Stokes equations with delay driven by colored noise
Mild solutions to time fractional 2D-Navier-Stokes equations with delay driven by colored noise Open
The aim of this paper is to show the local and global existence and uniqueness of mild solutions to time fractional 2D-Navier-Stokes equations with bounded delay driven by colored noise. More precisely, under suitable assumptions, we exten…
View article: Weak global attractor for the $3D$-Navier-Stokes equations via the globally modified Navier-Stokes equations
Weak global attractor for the $3D$-Navier-Stokes equations via the globally modified Navier-Stokes equations Open
In this paper we obtain the existence of a weak global attractor for the three-dimensional Navier-Stokes equations, that is, a weakly compact set with an invariance property, that uniformly attracts solutions, with respect to the weak topo…
View article: Dynamics and Large Deviations for Fractional Stochastic Partial Differential Equations with Lévy Noise
Dynamics and Large Deviations for Fractional Stochastic Partial Differential Equations with Lévy Noise Open
This paper is mainly concerned with a kind of fractional stochastic evolution equa-tions driven by L\\'evy noise in a bounded domain. We first state the well-posedness of the problem viaiterative approximations and energy estimates. Then, …
View article: Optimizing COVID-19 vaccine distribution adding spatio-temporal criteria
Optimizing COVID-19 vaccine distribution adding spatio-temporal criteria Open
Massive vaccination against pandemics such as Coronavirus SARS-CoV-2 presents several complexities. The criteria to assess public health policies are fundamental to distribute vaccines in an effective way in order to avoid as many infectio…
View article: The index theory for multivalued dynamical systems with applications to reaction-diffusion equations with discontinuous nonlinearity
The index theory for multivalued dynamical systems with applications to reaction-diffusion equations with discontinuous nonlinearity Open
In this paper, we develop first a theory of existence of index pairs for multivalued semiflows. We apply this result to a reaction-diffusion equation having a discontinuous nonlinearity which gives rise to a differential inclusion governed…
View article: Bifurcation and hyperbolicity for a nonlocal quasilinear parabolic problem
Bifurcation and hyperbolicity for a nonlocal quasilinear parabolic problem Open
In this article, we study the scalar one-dimensional nonlocal quasilinear problem of the form $$ u_t=a(\Vert u_x\Vert^2)u_{xx}+\nu f(u) , $$ with Dirichlet boundary conditions on the interval $[0,\pi]$, where $a: \mathbb{R}^+\to [m,M]\subs…
View article: Convergence of solutions for a reaction-diffusion problem with fractional Laplacian
Convergence of solutions for a reaction-diffusion problem with fractional Laplacian Open
A kind of nonlocal reaction-diffusion equations on an unbounded domain containing fractional Laplacian operator is analyzed. To be precise, we prove the convergence of solutions of the equation governed by the fractional Laplacian to the s…
View article: Bifurcation and hyperbolicity for a nonlocal quasilinear parabolic problem
Bifurcation and hyperbolicity for a nonlocal quasilinear parabolic problem Open
In this article, we study a one-dimensional nonlocal quasilinear problem of the form $u_t=a(\Vert u_x\Vert^2)u_{xx}+νf(u)$, with Dirichlet boundary conditions on the interval $[0,π]$, where $0
View article: The existence of isolating blocks for multivalued semiflows
The existence of isolating blocks for multivalued semiflows Open
In this article, we show the existence of an isolating block, a special neighborhood of an isolated invariant set, for multivalued semiflows acting on metric spaces (not locally compact). Isolating blocks play an important role in Conley's…
View article: New RED-Type TCP-AQM Algorithms Based on Beta Distribution Drop Functions
New RED-Type TCP-AQM Algorithms Based on Beta Distribution Drop Functions Open
In recent years, Active Queue Management (AQM) mechanisms to improve the performance of TCP/IP networks have acquired a relevant role. In this paper, we present a simple and robust RED-type algorithm together with a couple of dynamical var…
View article: Influence of insole material density in the stability of patients with prosthetic unilateral transtibial amputation
Influence of insole material density in the stability of patients with prosthetic unilateral transtibial amputation Open
People with lower limb amputation present greater displacements of their centre of gravity in a static situation than able-bodied individuals, as they depend on visual information to a greater extent, which implies an altered stability pat…
View article: On a stochastic nonlocal system with discrete diffusion modeling life tables
On a stochastic nonlocal system with discrete diffusion modeling life tables Open
In this paper, we study a stochastic system of differential equations with nonlocal discrete diffusion. For two types of noises, we study the existence of either positive or probability solutions. Also, we analyze the asymptotic behavior o…
View article: New RED-type TCP-AQM algorithms based on beta distribution drop functions
New RED-type TCP-AQM algorithms based on beta distribution drop functions Open
In recent years, Active Queue Management (AQM) mechanisms to improve the performance of TCP/IP networks have acquired a relevant role. In this paper we present a simple and robust RED-type algorithm together with a couple of dynamical vari…
View article: Asymptotic behavior of nonlocal partial differential equations with long time memory
Asymptotic behavior of nonlocal partial differential equations with long time memory Open
In this paper, it is first addressed the well-posedness of weak solutions to a nonlocal partial differential equation with long time memory, which is carried out by exploiting the nowadays well-known technique used by Dafermos in the early…
View article: Muscle Activation during Gait in Unilateral Transtibial Amputee Patients with Prosthesis: The Influence of the Insole Material Density
Muscle Activation during Gait in Unilateral Transtibial Amputee Patients with Prosthesis: The Influence of the Insole Material Density Open
Background: Walking is a complex process that is highly automated and efficient. This knowledge is essential for the study of pathological gait. The amputation of lower limbs involves new biomechanical load and gait patterns, and injuries …
View article: Modeling a New AQM Model for Internet Chaotic Behavior Using Petri Nets
Modeling a New AQM Model for Internet Chaotic Behavior Using Petri Nets Open
Formal modeling is considered one of the fundamental phases in the design of network algorithms, including Active Queue Management (AQM) schemes. This article focuses on modeling with Petri nets (PNs) a new scheme of AQM. This innovative A…
View article: Quality of life, body image and self-esteem in patients with unilateral transtibial amputations
Quality of life, body image and self-esteem in patients with unilateral transtibial amputations Open
Amputation represents a drastic impact on the patient’s body and perception. This cross-sectional study aims to analyse the aesthetic concern represented by body image, self-esteem and quality of life in patients with unilateral transtibia…