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Artículo
ON INITIAL AND TERMINAL VALUE PROBLEMS FOR FRACTIONAL NONCLASSICAL DIFFUSION EQUATIONS
(American Mathematical Society, 2020-06-11)
In this paper, we consider fractional nonclassical diffusion equations under two forms: initial value problem and terminal value problem. For an initial value problem, we study local existence, uniqueness, and continuous ...
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
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
Invariant measures for the 3D globally modified Navier-Stokes equations with unbounded variable delays
(Elsevier, 2020-12)
This article investigates the three-dimensional globally modified Navier-Stokes equations with unbounded variable delays. Firstly, we prove the global well-posedness of the solutions, and give the existence of the pullback ...
Artículo
Trajectory statistical solutions and Liouville type equations for evolution equations: abstract results and applications
(Elsevier, 2020-06)
In this article, we first prove, from the viewpoint of infinite dynamical system, sufficient conditions ensuring the existence of trajectory statistical solutions for autonomous evolution equations. Then we establish that ...
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 STOCHASTIC THRESHOLD FOR AN EPIDEMIC MODEL WITH ISOLATION AND A NON LINEAR INCIDENCE
(AIMS Press, 2020-05-01)
In this paper, we study a stochastic epidemic model with isolation and nonlinear incidence. In particular, we propose a stochastic threshold for the model without any sharp su cient assumptions on model parameters as ...