Results 31 to 40 of about 1,966,680 (255)

Application of Lévy processes in modelling (geodetic) time series with mixed spectra [PDF]

open access: yesNonlinear Processes in Geophysics, 2021
Recently, various models have been developed, including the fractional Brownian motion (fBm), to analyse the stochastic properties of geodetic time series together with the estimated geophysical signals.
J.-P. Montillet   +5 more
doaj   +1 more source

Stochastic regime switching SIS epidemic model with vaccination driven by Lévy noise

open access: yesAdvances in Difference Equations, 2017
We formulate a stochastic SIS epidemic model with vaccination by introducing a Lévy noise and regime switching into the epidemic model. First, we prove that the stochastic model admits a unique global positive solution.
Yingjia Guo
doaj   +1 more source

From Lévy to Brownian: a computational model based on biological fluctuation. [PDF]

open access: yesPLoS ONE, 2011
BACKGROUND: Theoretical studies predict that Lévy walks maximizes the chance of encountering randomly distributed targets with a low density, but Brownian walks is favorable inside a patch of targets with high density. Recently, experimental data reports
Surya G Nurzaman   +5 more
doaj   +1 more source

On Wick calculus and its relationship with stochastic integration on spaces of regular test functions in the Lévy white noise analysis

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
We deal with spaces of regular test functions in the Lévy white noise analysis, which are constructed using Lytvynov's generalization of a chaotic representation property.
N.A. Kachanovsky
doaj   +1 more source

Stabilization of Highly Nonlinear Hybrid Stochastic Differential Delay Equations with Lévy Noise by Delay Feedback Control

open access: yesSIAM Journal of Control and Optimization, 2022
. This paper focuses on a class of highly nonlinear stochastic di(cid:11)erential delay equations 5 (SDDEs) driven by L(cid:19)evy noise and Markovian chain, where the drift and di(cid:11)usion coe(cid:14)cients satisfy 6 more general polynomial growth ...
Hailing Dong, Juan Tang, X. Mao
semanticscholar   +1 more source

Stochastic analysis of COVID-19 by a SEIR model with Lévy noise.

open access: yesChaos, 2021
We propose a Lévy noise-driven susceptible-exposed-infected-recovered model incorporating media coverage to analyze the outbreak of COVID-19. We conduct a theoretical analysis of the stochastic model by the suitable Lyapunov function, including the ...
Yamin Ding, Yuxuan Fu, Yanmei Kang
semanticscholar   +1 more source

A Data-Driven Approach for Discovering Stochastic Dynamical Systems with Non-Gaussian Levy Noise [PDF]

open access: yesarXiv.org, 2020
With the rapid increase of valuable observational, experimental and simulating data for complex systems, great efforts are being devoted to discovering governing laws underlying the evolution of these systems. However, the existing techniques are limited
Yang Li, Jinqiao Duan
semanticscholar   +1 more source

Influence of Gaussian noise and Levy noise on the phase dynamics of the ensemble of Kuramoto-like oscillators of first and second order [PDF]

open access: yesИзвестия высших учебных заведений: Прикладная нелинейная динамика
The purpose of this study is to determine the stability threshold of the dynamic modes of the ensemble of phase Kuramoto-like oscillators, describing the behavior of a simple power grid model with a ring topology, under the external influence of Gaussian
Arinushkin, Pavel Alekseevich   +2 more
doaj   +1 more source

Nonlinear Stochastic SIS Epidemic Model Incorporating Lévy Process

open access: yesComplexity, 2022
In this work, we study a stochastic SIS epidemic model with Lévy jumps and nonlinear incidence rates. Firstly, we present our proposed model and its parameters.
Amine El Koufi
doaj   +1 more source

Dynamics of a Prey–Predator Model with Group Defense for Prey, Cooperative Hunting for Predator, and Lévy Jump

open access: yesAxioms, 2023
A stochastic predator–prey system with group cooperative behavior, white noise, and Lévy noise is considered. In group cooperation, we introduce the Holling IV interaction term to reflect group defense of prey, and cooperative hunting to reflect group ...
Hengfei Chen, Ming Liu, Xiaofeng Xu
doaj   +1 more source

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