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Artículo
Bounded random fluctuations on the input flow in chemostat models with wall growth and non-monotonic kinetics
(AIMS Press, 2021-02-04)
This paper investigates a chemostat model with wall growth and Haldane consumption kinetics. In addition, bounded random fluctuations on the input flow, which are modeled by means of the well-known Ornstein-Uhlenbeck ...
Artículo
Dynamics and numerical simulations to predict empirical antibiotic treatment of multi-resistant Pseudomonas aeruginosa infection
(Elsevier, 2020-12)
This work discloses an epidemiological mathematical model to predict an empirical treatment for dogs infected by Pseudomonas aeruginosa. This dangerous pathogen is one of the leading causes of multi-resistant infections ...
Artículo
A Regularity Criterion for a 3D Chemo-Repulsion System and Its Application to a Bilinear Optimal Control Problem
(SIAM, 2020-01-15)
In this paper, a bilinear optimal control problem associated to a 3D chemo-repulsion model with linear production is studied. The existence of weak solutions is proved, and a regularity criterion to get global-in-time ...
Artículo
Practical stability with respect to a part of the variables of stochastic differential equations driven by G-Brownian motion
(Springer, 2020-11-01)
In this paper, practical stability with respect to a part of the variables of stochastic differential equations driven by G-Brownian motion (G-SDEs) is studied. The analysis of the global practical uniform pth moment ...
Artículo
Some inverse problems for the Burgers equation and related systems
(Elsevier, 2021-11-23)
In this article we deal with one-dimensional inverse problems concerning the Burgers equation and some related nonlinear systems (involving heat effects and/or variable density). In these problems, the goal is to find ...
Artículo
Attractors for locally damped Bresse systems and a unique continuation property
(Cornell University, 2021-02-24)
This paper is devoted to Bresse systems, a robust model for circular beams, given by a set of three coupled wave equations. The main objective is to establish the existence of global attractors for dynamics of semilinear ...
Artículo
Optimal control of a chemotaxis equation arising in angiogenesis
(AIMS Press, 2021-11)
In this paper we consider an optimal control for an equation that models a crucial step in the tumor development, the angiogenesis. We show the existence of an optimal control, we characterize the optimal control as a ...
Artículo
On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square
(Springer, 2021-02-09)
The approach of Lyapunov functions is one of the most efficient ones for the investigation of the stability of stochastic systems, in particular, of singular stochastic systems. The main objective of the paper is the ...
Artículo
Minimizing the expected time to detect a randomly located lost target using 3-dimensional search technique
(Taylor and Francis, 2020)
This paper considers a new model in search theory to find a randomly located target in the 3-dimensional space. An approximation algorithm that facilitates searching procedures for searchers or robots is presented. The ...
Artículo
Capturing the non-stationarity of whole-brain dynamics underlying human brain states
(Elsevier, 2021-09-08)
Brain dynamics depicts an extremely complex energy landscape that changes over time, and its characterisation is a central unsolved problem in neuroscience. We approximate the non-stationary landscape sustained by the human ...