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Mostrando ítems 1-9 de 9
Artículo
Recent developments in dynamical systems: three perspectives
(2010)
This paper aims to an present account of some problems considered in the past years in Dynamical Systems, new research directions and also provide some open problems.
Artículo
Nonautonomous chemostats with variable delays
(Society for Industrial and Applied Mathematics, 2015)
The appearance of delay terms in a chemostat model can be fully justified since the future behavior of a dynamical system does not in general depend only on the present but also on its history. Sometimes only a short piece ...
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
Long time behavior of stochastic parabolic problems with white noise in materials with thermal memory
(Springer, 2017-09)
The existence and limiting behavior of the solutions of stochastic parabolic problems with thermal memory are investigate in the cases that the nonlinear term satisfies subcritical and critical growth conditions. The ...
Capítulo de Libro
A random model for immune response to virus in fluctuating environments
(Springer, 2016)
In this work we study a model for virus dynamics with a random immune response and a random production rate of susceptible cells from cell proliferation. In traditional models for virus dynamics, the rate at which the ...
Artículo
Dynamics of nonautonomous chemostat models
(2015)
Chemostat models have a long history in the biological sciences as well as in biomathematics. Hitherto most investigations have focused on autonomous systems, that is, with constant parameters, inputs and outputs. In many ...
Artículo
The asymptotic behaviour of fractional lattice systems with variable delay
(De Gruyter, 2019-06)
The existence and uniqueness of global solutions for a fractional functional differential equation is established. The asymptotic behaviour of a lattice system with a fractional substantial time derivative and variable time ...
Artículo
Chemostats with time-dependent inputs and wall growth
(Natural Sciences Publishing Corporation, 2015)
Traditional assumptions in the simple chemostat model include fixed availability of the nutrient and its supply rate, and fast flow rate to avoid wall growth. However, these assumptions become unrealistic when the availability ...
Artículo
The three dimensional globally modified Navier-Stokes equations: Recent developments
(2013)
The globally modified Navier-Stokes equations (GMNSE) were introduced by Caraballo, Kloeden & Real in 2006 and have been investigated in a number of papers since then, both for their own sake and as a means of obtaining ...