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Pullback attractor for a non-linear evolution equation in elasticity
(2014)
We prove the existence of a pullback attractor for a non{autonomous fourth order evolution equation arising in the fi eld of phase transitions and elasticity theory. The existence of several families of bounded absorbing ...
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Effects of additive and multiplicative noise on the dynamics of a parabolic equation
(Natural Sciences Publishing Corporation, 2015)
We consider the effects of additive and multiplicative noise on the asymptotic behavior of a fourth order parabolic equation arising in the study of phase transitions. On account that the deterministic model presents three ...
Artículo
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Bifurcation scenarios in an ordinary differential equation with constant and distributed delay: A case study
(American Institute of Mathematical, 2019-06)
In this article we consider a model introduced by Ucar in order to simply describe chaotic behaviour with a one dimensional ODE containing a constant delay. We study the bifurcation problem of the equilibria and we obtain ...
Artículo
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Predation with indirect effects in fluctuating environments
(Springer, 2015-06-30)
We investigate the long term dynamics for a predation model of Plankton community with indirect effects, under fluctuating environments. A random version and a stochastic version with multiplicative noise of the model ...
Artículo
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A way to model stochastic perturbations in population dynamics models with bounded realizations
(Elsevier, 2019-10)
In this paper, we analyze the use of the Ornstein-Uhlenbeck process to model dynamical systems subjected to bounded noisy perturbations. In order to discuss the main characteristics of this new approach we consider some ...
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Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing
(Elsevier, 2016-10)
In this paper we study a semi-Kolmogorov type of population model, arising from a predator-prey system with indirect effects. In particular we are interested in investigating the population dynamics when the indirect ...
Artículo
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Semi-Kolmogorov models for predation with indirect effects in random environments
(American Institute of Mathematical Sciences, 2016-09)
In this work we study semi-Kolmogorov models for predation with both the carrying capacities and the indirect effects varying with respect to randomly fluctuating environments. In particular, we consider one random ...
Artículo
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A comparison between random and stochastic modeling for a SIR model
(American Institute of Mathematical Sciences, 2017-01)
In this article, a random and a stochastic version of a SIR nonautonomous model previously introduced in P. E. Kloeden and V. S. Kozyakin, The dynamics of epidemiological systems with nonautonomous and random coefficients, ...
Artículo
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On a predator prey model with nonlinear harvesting and distributed delay
(American Institute of Mathematical Sciences, 2018)
A predator prey model with nonlinear harvesting (Holling type-II) with both constant and distributed delay is considered. The boundeness of solutions is proved and some sufficient conditions ensuring the persistence of the ...
Artículo
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Stabilization of oscillations in a phase transition model
(Wiley, 2017-02)
In this paper we analyze a model presenting formation of microstructure depending on the parameters and the initial data. In particular we investigate how the presence of stochastic perturbations affects this phenomenon ...