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Mostrando ítems 1-10 de 13
Artículo
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 ...
Artículo
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
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
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
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 ...
Artículo
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
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
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
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
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 ...