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Abstract: We develop a scheme for estimating state-dependent drift and diffusion coefficients in a stochastic differential equation from a time-series data. There is no need to have any prior knowledg...
In this paper, a predator-prey model is estab lished with the modified Holling-type II schemes with stochastic perturbation. We mainly use Lyapun ov function and comparison theorem to show that there ...
Within systems biology there is an increasing interest in the stochastic behavior of genetic and biochemical reaction networks. An appropriate stochastic description is provided by the chemical master...
We consider optimization of phase response curves for stochastic synchronization of non- interacting limit-cycle oscillators by common Poisson impulsive signals. The optimal functional shape for suf...
A lattice model of three-state stochastic phase-coupled oscillators has been shown by Wood et al. [Phys. Rev. Lett. 96, 145701 (2006)] to exhibit a phase transition at a critical value of the coupling...
Here we present a simple stochastic threshold model consisting of a deterministic slowly decaying term and a fast stochastic noise term. The process shows a pseudo-resonance, in the sense that for s...
Abstract: Here we present a simple stochastic threshold model consisting of a deterministic slowly decaying term and a fast stochastic noise term. The process shows a pseudo-resonance, in the sense th...
Abstract: Motivated by the fact that in nature almost all phenomena behave randomly in some scales and deterministically in some other scales, we build up a framework suitable to tackle both determini...
Based on the fixed point theory, the asymp totical stability of mild solution to impulsive stochastic partial differential equations with infinite delays and Markovian jumps is studied. In addition, s...
We considerably improve upon the recent result of [34] on the mixing time of Glauber dynamics for the 2d Ising model in a box of side L at low temperature and with random boundary conditions whose dis...
This work faces the problem of the origin of the logarithmic character of the Gompertzian growth. We show that the macroscopic, deterministic Gompertz equation describes the evolution from the initial...
Spatial interference avoidance is a simple and effective way of mitigating interference in multi-antenna wireless networks.
Thermodynamics of small systems has become an important field of statistical physics. They are driven out of equilibrium by a control, and the question is naturally posed how such a control can be op...
The aim of this paper is to present the stochastic Poisson equations as-sociated to Lie algebroids. The obtained results are used for determination of stochastic Poisson equations associated to a refi...
Let B = (B1(t), . . . ,Bd(t)) be a d-dimensional fractional Brownian motion with Hurst index ≤ 1/4, or more generally a Gaussian process whose paths have the same local regularity. Defining properly...

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