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Mostrando ítems 1-10 de 23
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
Global and Pullback Attractors of Set-Valued Skew Product Flows
(2006)
We investigate the asymptotic behaviour of a general set-valued skew product flow (SVSPF), that is, a set-valued cocycle mapping (coming from a nonautonomous differential equation or inclusion) driven by another, ...
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
Numerical and finite delay approximations of attractors for logistic differential-integral equations with infinite delay
(2007)
The upper semi-continuous convergence of approximate attractors for an infinite delay differential equation of logistic type is proved, first for the associated truncated delay equation with finite delay and then for a ...
Artículo
Synchronization of Systems with Multiplicative Noise
(2008)
The synchronization of Stratonovich stochastic di erential equations (SDE) with a one-sided dissipative Lipschitz drift and linear multiplicative noise is investigated by transforming the SDE to random ordinary di erential ...
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 ...
Artículo
A free boundary tumor model with time dependent nutritional supply
(Elsevier, 2020-06)
A non-autonomous free boundary model for tumor growth is studied. The model consists of a nonlinear reaction diffusion equation describing the distribution of vital nutrients in the tumor and a nonlinear integro-differential ...
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 ...