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The role of correlation time in a stochastic population model with density-dependent harvesting
In this paper, a single-species stochastic population model is considered in the presence of density-dependent proportional harvesting. The...
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Periodic Solutions in Distribution of Mean-Field Stochastic Differential Equations
In this paper, we study periodic solutions in distribution of mean-field stochastic differential equations. We introduce the notion of upper and...
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Multiscale Modeling of Surface Deposition Processes
This chapter is devoted to the discussion of multiscale modeling of processes occurring during the deposition of nanoparticles on surfaces. The...
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Quantum Equilibrium in Stochastic de Broglie–Bohm–Bell Quantum Mechanics
This paper investigates dynamical relaxation to quantum equilibrium in the stochastic de Broglie–Bohm–Bell formulation of quantum mechanics. The...
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Weak and Strong Versions of the Kolmogorov 4/5-Law for Stochastic Burgers Equation
For solutions of the space-periodic stochastic 1d Burgers equation we establish two versions of the Kolmogorov 4/5-law; this provides an asymptotic...
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Analytical Properties for a Stochastic Rotating Shallow Water Model Under Location Uncertainty
The rotating shallow water model is a simplification of oceanic and atmospheric general circulation models that are used in many applications such as...
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Stochastic approach to evolution of a quantum system interacting with environment in squeezed number state
We determine filtering and master equations for a quantum system interacting with wave packet of light in a continuous-mode squeezed number state. We...
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Dynamical analysis and optimal control of a stochastic SIAR model for computer viruses
Mathematical formulation of a stochastic computer viruses model with the application of optimal control and randomly noise transmission has been...
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Reliability Problem of a Fractional Stochastic Dynamical System Based on Stochastic Averaging Method and Data-Driven Deep Learning Algorithm
Engineering structures with viscoelastic materials are generally modelled by a fractional-order system. The reliability problem of relative...
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Impact of noise on the instability of spiral waves in stochastic 2D mathematical models of human atrial fibrillation
Sustained spiral waves, also known as rotors, are pivotal mechanisms in persistent atrial fibrillation (AF). Stochasticity is inevitable in nonlinear...
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Dynamics of a stochastic nutrient-plankton model with impulsive control strategy
In this paper, we investigate an impulsive nutrient-plankton model in a stochastic environment. The model dynamics have been studied by using the...
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Stochastic Entropy Production: Fluctuation Relation and Irreversibility Mitigation in Non-unital Quantum Dynamics
In this work, we study the stochastic entropy production in open quantum systems whose time evolution is described by a class of non-unital quantum...
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Structural and stochastic transformations in a system of coupled populations
A problem of the study of underlying mechanisms for structural transformations in coupled multicomponent biological systems is considered. We focus...
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Zero-Temperature Stochastic Ising Model on Planar Quasi-Transitive Graphs
We study the zero-temperature stochastic Ising model on some connected planar quasi-transitive graphs, which are invariant under rotations and...
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Optical solutions to the stochastic Fokas–Lenells equation with multiplicative white noise in Itô sense using Jacobi elliptic expansion function method
In this paper, we study the stochastic Fokas–Lenells equation with multiplicative white noise in the Itô sense. For this purpose, we will use the...
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Extracting stochastic solutions for complex Ginzburg–Landau model with chromatic dispersion and Kerr law nonlinearity using improved modified extended tanh technique
In this research article, the stochastic complex Ginzburg–Landau equation with Kerr law nonlinearity and chromatic dispersion is studied, which has...
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Noise-induced alternations and data-driven parameter estimation of a stochastic perceptual model
Neural systems are inherently noisy and our perceptual system can be then influenced from time to time. In this paper, we considered a perceptual...
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Stochastic Processes
In this third and final chapter on random variables, I give a very brief introduction to stochastic processesStochastic process|(, also known as...
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A Consistent Stochastic Large-Scale Representation of the Navier–Stokes Equations
In this paper we analyze the theoretical properties of a stochastic representation of the incompressible Navier–Stokes equations defined in the...
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Optical soliton solutions of stochastic Schrödinger–Hirota equation in birefringent fibers with spatiotemporal dispersion and parabolic law nonlinearity
In this paper, the stochastic Schrödinger–Hirota equation with spatiotemporal dispersion and parabolic law nonlinearity is studied from the field of...
